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Finding the Third Proportional to 10,447,940 and 15,829,922

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Solution

The third proportional to 10,447,940 and 15,829,922 is: 23,984,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447,940 : 15,829,922 = 15,829,922 : x
  2. Step 2: Convert to fraction form
    10,447,940/15,829,922 = 15,829,922/x
  3. Step 3: Cross multiply
    10,447,940x = 15,829,922 × 15,829,922
  4. Step 4: Simplify right side
    10,447,940x = 250,586,430,526,084
  5. Step 5: Solve for x
    x = 250,586,430,526,084/10,447,940
  6. Step 6: Final answer
    x = 23,984,290.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.