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Finding the Third Proportional to 38,229,747.19 and 57,344,005.69

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Solution

The third proportional to 38,229,747.19 and 57,344,005.69 is: 86,015,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,229,747.19 : 57,344,005.69 = 57,344,005.69 : x
  2. Step 2: Convert to fraction form
    38,229,747.19/57,344,005.69 = 57,344,005.69/x
  3. Step 3: Cross multiply
    38,229,747.19x = 57,344,005.69 × 57,344,005.69
  4. Step 4: Simplify right side
    38,229,747.19x = 3,288,334,988,288,032.50
  5. Step 5: Solve for x
    x = 3,288,334,988,288,032.50/38,229,747.19
  6. Step 6: Final answer
    x = 86,015,085.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.