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Finding the Third Proportional to 10,381,750.31 and 22,717,432.69

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Solution

The third proportional to 10,381,750.31 and 22,717,432.69 is: 49,710,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381,750.31 : 22,717,432.69 = 22,717,432.69 : x
  2. Step 2: Convert to fraction form
    10,381,750.31/22,717,432.69 = 22,717,432.69/x
  3. Step 3: Cross multiply
    10,381,750.31x = 22,717,432.69 × 22,717,432.69
  4. Step 4: Simplify right side
    10,381,750.31x = 516,081,747,911,093.50
  5. Step 5: Solve for x
    x = 516,081,747,911,093.50/10,381,750.31
  6. Step 6: Final answer
    x = 49,710,475.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.