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Finding the Third Proportional to 11,098,849 and 24,214,619

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Solution

The third proportional to 11,098,849 and 24,214,619 is: 52,829,601.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098,849 : 24,214,619 = 24,214,619 : x
  2. Step 2: Convert to fraction form
    11,098,849/24,214,619 = 24,214,619/x
  3. Step 3: Cross multiply
    11,098,849x = 24,214,619 × 24,214,619
  4. Step 4: Simplify right side
    11,098,849x = 586,347,773,315,161
  5. Step 5: Solve for x
    x = 586,347,773,315,161/11,098,849
  6. Step 6: Final answer
    x = 52,829,601.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.