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Finding the Third Proportional to 39,462,530 and 86,096,332

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Solution

The third proportional to 39,462,530 and 86,096,332 is: 187,838,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,462,530 : 86,096,332 = 86,096,332 : x
  2. Step 2: Convert to fraction form
    39,462,530/86,096,332 = 86,096,332/x
  3. Step 3: Cross multiply
    39,462,530x = 86,096,332 × 86,096,332
  4. Step 4: Simplify right side
    39,462,530x = 7,412,578,383,854,224
  5. Step 5: Solve for x
    x = 7,412,578,383,854,224/39,462,530
  6. Step 6: Final answer
    x = 187,838,397.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.