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Finding the Third Proportional to 4,026,554,905,670 and 8,832,671,577,449

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Solution

The third proportional to 4,026,554,905,670 and 8,832,671,577,449 is: 19,375,393,859,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026,554,905,670 : 8,832,671,577,449 = 8,832,671,577,449 : x
  2. Step 2: Convert to fraction form
    4,026,554,905,670/8,832,671,577,449 = 8,832,671,577,449/x
  3. Step 3: Cross multiply
    4,026,554,905,670x = 8,832,671,577,449 × 8,832,671,577,449
  4. Step 4: Simplify right side
    4,026,554,905,670x = 78,016,087,195,075,409,455,611,904
  5. Step 5: Solve for x
    x = 78,016,087,195,075,409,455,611,904/4,026,554,905,670
  6. Step 6: Final answer
    x = 19,375,393,859,702.98

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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.