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Finding the Third Proportional to 9,690,975 and 15,012,924.75

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Solution

The third proportional to 9,690,975 and 15,012,924.75 is: 23,257,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690,975 : 15,012,924.75 = 15,012,924.75 : x
  2. Step 2: Convert to fraction form
    9,690,975/15,012,924.75 = 15,012,924.75/x
  3. Step 3: Cross multiply
    9,690,975x = 15,012,924.75 × 15,012,924.75
  4. Step 4: Simplify right side
    9,690,975x = 225,387,909,549,162.56
  5. Step 5: Solve for x
    x = 225,387,909,549,162.56/9,690,975
  6. Step 6: Final answer
    x = 23,257,506.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.