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Finding the Third Proportional to 38,515,970 and 83,098,732

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Solution

The third proportional to 38,515,970 and 83,098,732 is: 179,286,650.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,515,970 : 83,098,732 = 83,098,732 : x
  2. Step 2: Convert to fraction form
    38,515,970/83,098,732 = 83,098,732/x
  3. Step 3: Cross multiply
    38,515,970x = 83,098,732 × 83,098,732
  4. Step 4: Simplify right side
    38,515,970x = 6,905,399,260,007,824
  5. Step 5: Solve for x
    x = 6,905,399,260,007,824/38,515,970
  6. Step 6: Final answer
    x = 179,286,650.71

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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.