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Finding the Third Proportional to 10,414,536 and 22,561,200

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Solution

The third proportional to 10,414,536 and 22,561,200 is: 48,874,740.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414,536 : 22,561,200 = 22,561,200 : x
  2. Step 2: Convert to fraction form
    10,414,536/22,561,200 = 22,561,200/x
  3. Step 3: Cross multiply
    10,414,536x = 22,561,200 × 22,561,200
  4. Step 4: Simplify right side
    10,414,536x = 509,007,745,440,000
  5. Step 5: Solve for x
    x = 509,007,745,440,000/10,414,536
  6. Step 6: Final answer
    x = 48,874,740.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.