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Finding the Third Proportional to 9,924,825 and 21,498,468

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Solution

The third proportional to 9,924,825 and 21,498,468 is: 46,568,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924,825 : 21,498,468 = 21,498,468 : x
  2. Step 2: Convert to fraction form
    9,924,825/21,498,468 = 21,498,468/x
  3. Step 3: Cross multiply
    9,924,825x = 21,498,468 × 21,498,468
  4. Step 4: Simplify right side
    9,924,825x = 462,184,126,347,024
  5. Step 5: Solve for x
    x = 462,184,126,347,024/9,924,825
  6. Step 6: Final answer
    x = 46,568,491.27

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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.