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Finding the Third Proportional to 39,957,416 and 86,134,768

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Solution

The third proportional to 39,957,416 and 86,134,768 is: 185,677,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,957,416 : 86,134,768 = 86,134,768 : x
  2. Step 2: Convert to fraction form
    39,957,416/86,134,768 = 86,134,768/x
  3. Step 3: Cross multiply
    39,957,416x = 86,134,768 × 86,134,768
  4. Step 4: Simplify right side
    39,957,416x = 7,419,198,258,413,824
  5. Step 5: Solve for x
    x = 7,419,198,258,413,824/39,957,416
  6. Step 6: Final answer
    x = 185,677,628.86

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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.