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Finding the Third Proportional to 37,911,640 and 81,864,320

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Solution

The third proportional to 37,911,640 and 81,864,320 is: 176,773,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,911,640 : 81,864,320 = 81,864,320 : x
  2. Step 2: Convert to fraction form
    37,911,640/81,864,320 = 81,864,320/x
  3. Step 3: Cross multiply
    37,911,640x = 81,864,320 × 81,864,320
  4. Step 4: Simplify right side
    37,911,640x = 6,701,766,889,062,400
  5. Step 5: Solve for x
    x = 6,701,766,889,062,400/37,911,640
  6. Step 6: Final answer
    x = 176,773,331.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.