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Finding the Third Proportional to 10,488,045 and 22,882,506

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Solution

The third proportional to 10,488,045 and 22,882,506 is: 49,924,373.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488,045 : 22,882,506 = 22,882,506 : x
  2. Step 2: Convert to fraction form
    10,488,045/22,882,506 = 22,882,506/x
  3. Step 3: Cross multiply
    10,488,045x = 22,882,506 × 22,882,506
  4. Step 4: Simplify right side
    10,488,045x = 523,609,080,840,036
  5. Step 5: Solve for x
    x = 523,609,080,840,036/10,488,045
  6. Step 6: Final answer
    x = 49,924,373.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.