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Finding the Third Proportional to 31,001,670 and 48,386,241

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Solution

The third proportional to 31,001,670 and 48,386,241 is: 75,519,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001,670 : 48,386,241 = 48,386,241 : x
  2. Step 2: Convert to fraction form
    31,001,670/48,386,241 = 48,386,241/x
  3. Step 3: Cross multiply
    31,001,670x = 48,386,241 × 48,386,241
  4. Step 4: Simplify right side
    31,001,670x = 2,341,228,318,110,081
  5. Step 5: Solve for x
    x = 2,341,228,318,110,081/31,001,670
  6. Step 6: Final answer
    x = 75,519,425.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.