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Finding the Third Proportional to 39,753,517 and 84,090,484

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Solution

The third proportional to 39,753,517 and 84,090,484 is: 177,876,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,753,517 : 84,090,484 = 84,090,484 : x
  2. Step 2: Convert to fraction form
    39,753,517/84,090,484 = 84,090,484/x
  3. Step 3: Cross multiply
    39,753,517x = 84,090,484 × 84,090,484
  4. Step 4: Simplify right side
    39,753,517x = 7,071,209,499,354,256
  5. Step 5: Solve for x
    x = 7,071,209,499,354,256/39,753,517
  6. Step 6: Final answer
    x = 177,876,324.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.