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Finding the Third Proportional to 65,036,917 and 95,758,709

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Solution

The third proportional to 65,036,917 and 95,758,709 is: 140,992,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,036,917 : 95,758,709 = 95,758,709 : x
  2. Step 2: Convert to fraction form
    65,036,917/95,758,709 = 95,758,709/x
  3. Step 3: Cross multiply
    65,036,917x = 95,758,709 × 95,758,709
  4. Step 4: Simplify right side
    65,036,917x = 9,169,730,349,346,680
  5. Step 5: Solve for x
    x = 9,169,730,349,346,680/65,036,917
  6. Step 6: Final answer
    x = 140,992,697.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.