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Finding the Third Proportional to 10,653,098 and 23,299,220

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Solution

The third proportional to 10,653,098 and 23,299,220 is: 50,957,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653,098 : 23,299,220 = 23,299,220 : x
  2. Step 2: Convert to fraction form
    10,653,098/23,299,220 = 23,299,220/x
  3. Step 3: Cross multiply
    10,653,098x = 23,299,220 × 23,299,220
  4. Step 4: Simplify right side
    10,653,098x = 542,853,652,608,400
  5. Step 5: Solve for x
    x = 542,853,652,608,400/10,653,098
  6. Step 6: Final answer
    x = 50,957,350.87

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Why These Related Problems?

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