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Finding the Third Proportional to 4,026,554,905,668.40 and 8,832,671,577,444.80

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Solution

The third proportional to 4,026,554,905,668.40 and 8,832,671,577,444.80 is: 19,375,393,859,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026,554,905,668.40 : 8,832,671,577,444.80 = 8,832,671,577,444.80 : x
  2. Step 2: Convert to fraction form
    4,026,554,905,668.40/8,832,671,577,444.80 = 8,832,671,577,444.80/x
  3. Step 3: Cross multiply
    4,026,554,905,668.40x = 8,832,671,577,444.80 × 8,832,671,577,444.80
  4. Step 4: Simplify right side
    4,026,554,905,668.40x = 78,016,087,195,001,226,780,475,392
  5. Step 5: Solve for x
    x = 78,016,087,195,001,226,780,475,392/4,026,554,905,668.40
  6. Step 6: Final answer
    x = 19,375,393,859,692.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.