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Finding the Third Proportional to 2,397,649 and 5,137,289.63

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Solution

The third proportional to 2,397,649 and 5,137,289.63 is: 11,007,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,649 : 5,137,289.63 = 5,137,289.63 : x
  2. Step 2: Convert to fraction form
    2,397,649/5,137,289.63 = 5,137,289.63/x
  3. Step 3: Cross multiply
    2,397,649x = 5,137,289.63 × 5,137,289.63
  4. Step 4: Simplify right side
    2,397,649x = 26,391,744,691,132.64
  5. Step 5: Solve for x
    x = 26,391,744,691,132.64/2,397,649
  6. Step 6: Final answer
    x = 11,007,342.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.