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Finding the Third Proportional to 6,650,421.75 and 10,023,198.75

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Solution

The third proportional to 6,650,421.75 and 10,023,198.75 is: 15,106,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650,421.75 : 10,023,198.75 = 10,023,198.75 : x
  2. Step 2: Convert to fraction form
    6,650,421.75/10,023,198.75 = 10,023,198.75/x
  3. Step 3: Cross multiply
    6,650,421.75x = 10,023,198.75 × 10,023,198.75
  4. Step 4: Simplify right side
    6,650,421.75x = 100,464,513,182,001.56
  5. Step 5: Solve for x
    x = 100,464,513,182,001.56/6,650,421.75
  6. Step 6: Final answer
    x = 15,106,487.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.