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Finding the Third Proportional to 31,119,120 and 45,669,764.25

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Solution

The third proportional to 31,119,120 and 45,669,764.25 is: 67,023,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119,120 : 45,669,764.25 = 45,669,764.25 : x
  2. Step 2: Convert to fraction form
    31,119,120/45,669,764.25 = 45,669,764.25/x
  3. Step 3: Cross multiply
    31,119,120x = 45,669,764.25 × 45,669,764.25
  4. Step 4: Simplify right side
    31,119,120x = 2,085,727,366,650,578
  5. Step 5: Solve for x
    x = 2,085,727,366,650,578/31,119,120
  6. Step 6: Final answer
    x = 67,023,982.90

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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.