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Finding the Third Proportional to 10,281,909 and 22,581,600

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Solution

The third proportional to 10,281,909 and 22,581,600 is: 49,594,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281,909 : 22,581,600 = 22,581,600 : x
  2. Step 2: Convert to fraction form
    10,281,909/22,581,600 = 22,581,600/x
  3. Step 3: Cross multiply
    10,281,909x = 22,581,600 × 22,581,600
  4. Step 4: Simplify right side
    10,281,909x = 509,928,658,560,000
  5. Step 5: Solve for x
    x = 509,928,658,560,000/10,281,909
  6. Step 6: Final answer
    x = 49,594,745.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.