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Finding the Third Proportional to 11,822,442 and 25,412,763

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Solution

The third proportional to 11,822,442 and 25,412,763 is: 54,625,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822,442 : 25,412,763 = 25,412,763 : x
  2. Step 2: Convert to fraction form
    11,822,442/25,412,763 = 25,412,763/x
  3. Step 3: Cross multiply
    11,822,442x = 25,412,763 × 25,412,763
  4. Step 4: Simplify right side
    11,822,442x = 645,808,523,294,169
  5. Step 5: Solve for x
    x = 645,808,523,294,169/11,822,442
  6. Step 6: Final answer
    x = 54,625,645.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.