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Finding the Third Proportional to 39,917,124 and 82,572,372

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Solution

The third proportional to 39,917,124 and 82,572,372 is: 170,808,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,917,124 : 82,572,372 = 82,572,372 : x
  2. Step 2: Convert to fraction form
    39,917,124/82,572,372 = 82,572,372/x
  3. Step 3: Cross multiply
    39,917,124x = 82,572,372 × 82,572,372
  4. Step 4: Simplify right side
    39,917,124x = 6,818,196,617,706,384
  5. Step 5: Solve for x
    x = 6,818,196,617,706,384/39,917,124
  6. Step 6: Final answer
    x = 170,808,814.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.