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Finding the Third Proportional to 10,299,421 and 15,933,422

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Solution

The third proportional to 10,299,421 and 15,933,422 is: 24,649,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299,421 : 15,933,422 = 15,933,422 : x
  2. Step 2: Convert to fraction form
    10,299,421/15,933,422 = 15,933,422/x
  3. Step 3: Cross multiply
    10,299,421x = 15,933,422 × 15,933,422
  4. Step 4: Simplify right side
    10,299,421x = 253,873,936,630,084
  5. Step 5: Solve for x
    x = 253,873,936,630,084/10,299,421
  6. Step 6: Final answer
    x = 24,649,340.64

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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.