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Finding the Third Proportional to 72,567,775 and 156,679,670

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Solution

The third proportional to 72,567,775 and 156,679,670 is: 338,284,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,567,775 : 156,679,670 = 156,679,670 : x
  2. Step 2: Convert to fraction form
    72,567,775/156,679,670 = 156,679,670/x
  3. Step 3: Cross multiply
    72,567,775x = 156,679,670 × 156,679,670
  4. Step 4: Simplify right side
    72,567,775x = 24,548,518,991,308,900
  5. Step 5: Solve for x
    x = 24,548,518,991,308,900/72,567,775
  6. Step 6: Final answer
    x = 338,284,024.71

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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.