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Finding the Third Proportional to 31,551,045.75 and 47,534,195.25

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Solution

The third proportional to 31,551,045.75 and 47,534,195.25 is: 71,614,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,551,045.75 : 47,534,195.25 = 47,534,195.25 : x
  2. Step 2: Convert to fraction form
    31,551,045.75/47,534,195.25 = 47,534,195.25/x
  3. Step 3: Cross multiply
    31,551,045.75x = 47,534,195.25 × 47,534,195.25
  4. Step 4: Simplify right side
    31,551,045.75x = 2,259,499,718,065,122.50
  5. Step 5: Solve for x
    x = 2,259,499,718,065,122.50/31,551,045.75
  6. Step 6: Final answer
    x = 71,614,099.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.