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Finding the Third Proportional to 9,924,807.75 and 21,498,432

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Solution

The third proportional to 9,924,807.75 and 21,498,432 is: 46,568,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924,807.75 : 21,498,432 = 21,498,432 : x
  2. Step 2: Convert to fraction form
    9,924,807.75/21,498,432 = 21,498,432/x
  3. Step 3: Cross multiply
    9,924,807.75x = 21,498,432 × 21,498,432
  4. Step 4: Simplify right side
    9,924,807.75x = 462,182,578,458,624
  5. Step 5: Solve for x
    x = 462,182,578,458,624/9,924,807.75
  6. Step 6: Final answer
    x = 46,568,416.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.