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Finding the Third Proportional to 3,947,845,829.25 and 8,778,373,641

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Solution

The third proportional to 3,947,845,829.25 and 8,778,373,641 is: 19,519,466,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,845,829.25 : 8,778,373,641 = 8,778,373,641 : x
  2. Step 2: Convert to fraction form
    3,947,845,829.25/8,778,373,641 = 8,778,373,641/x
  3. Step 3: Cross multiply
    3,947,845,829.25x = 8,778,373,641 × 8,778,373,641
  4. Step 4: Simplify right side
    3,947,845,829.25x = 77,059,843,781,003,591,680
  5. Step 5: Solve for x
    x = 77,059,843,781,003,591,680/3,947,845,829.25
  6. Step 6: Final answer
    x = 19,519,466,340.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.