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Finding the Third Proportional to 3,947,845,834 and 8,778,373,648.75

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Solution

The third proportional to 3,947,845,834 and 8,778,373,648.75 is: 19,519,466,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,845,834 : 8,778,373,648.75 = 8,778,373,648.75 : x
  2. Step 2: Convert to fraction form
    3,947,845,834/8,778,373,648.75 = 8,778,373,648.75/x
  3. Step 3: Cross multiply
    3,947,845,834x = 8,778,373,648.75 × 8,778,373,648.75
  4. Step 4: Simplify right side
    3,947,845,834x = 77,059,843,917,068,386,304
  5. Step 5: Solve for x
    x = 77,059,843,917,068,386,304/3,947,845,834
  6. Step 6: Final answer
    x = 19,519,466,351.35

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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.