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Finding the Third Proportional to 39,359,496 and 85,409,331

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Solution

The third proportional to 39,359,496 and 85,409,331 is: 185,336,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,359,496 : 85,409,331 = 85,409,331 : x
  2. Step 2: Convert to fraction form
    39,359,496/85,409,331 = 85,409,331/x
  3. Step 3: Cross multiply
    39,359,496x = 85,409,331 × 85,409,331
  4. Step 4: Simplify right side
    39,359,496x = 7,294,753,821,867,561
  5. Step 5: Solve for x
    x = 7,294,753,821,867,561/39,359,496
  6. Step 6: Final answer
    x = 185,336,565.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.