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Finding the Third Proportional to 6,155,924 and 9,199,432

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Solution

The third proportional to 6,155,924 and 9,199,432 is: 13,747,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155,924 : 9,199,432 = 9,199,432 : x
  2. Step 2: Convert to fraction form
    6,155,924/9,199,432 = 9,199,432/x
  3. Step 3: Cross multiply
    6,155,924x = 9,199,432 × 9,199,432
  4. Step 4: Simplify right side
    6,155,924x = 84,629,549,122,624
  5. Step 5: Solve for x
    x = 84,629,549,122,624/6,155,924
  6. Step 6: Final answer
    x = 13,747,659.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.