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Finding the Third Proportional to 6,504,834,498 and 8,776,548,920

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Solution

The third proportional to 6,504,834,498 and 8,776,548,920 is: 11,841,625,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504,834,498 : 8,776,548,920 = 8,776,548,920 : x
  2. Step 2: Convert to fraction form
    6,504,834,498/8,776,548,920 = 8,776,548,920/x
  3. Step 3: Cross multiply
    6,504,834,498x = 8,776,548,920 × 8,776,548,920
  4. Step 4: Simplify right side
    6,504,834,498x = 77,027,810,945,153,171,456
  5. Step 5: Solve for x
    x = 77,027,810,945,153,171,456/6,504,834,498
  6. Step 6: Final answer
    x = 11,841,625,020.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.