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Finding the Third Proportional to 47,572,930.13 and 75,698,670

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Solution

The third proportional to 47,572,930.13 and 75,698,670 is: 120,452,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,572,930.13 : 75,698,670 = 75,698,670 : x
  2. Step 2: Convert to fraction form
    47,572,930.13/75,698,670 = 75,698,670/x
  3. Step 3: Cross multiply
    47,572,930.13x = 75,698,670 × 75,698,670
  4. Step 4: Simplify right side
    47,572,930.13x = 5,730,288,639,768,900
  5. Step 5: Solve for x
    x = 5,730,288,639,768,900/47,572,930.13
  6. Step 6: Final answer
    x = 120,452,715.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.