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Finding the Third Proportional to 10,488,050 and 22,882,516

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Solution

The third proportional to 10,488,050 and 22,882,516 is: 49,924,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488,050 : 22,882,516 = 22,882,516 : x
  2. Step 2: Convert to fraction form
    10,488,050/22,882,516 = 22,882,516/x
  3. Step 3: Cross multiply
    10,488,050x = 22,882,516 × 22,882,516
  4. Step 4: Simplify right side
    10,488,050x = 523,609,538,490,256
  5. Step 5: Solve for x
    x = 523,609,538,490,256/10,488,050
  6. Step 6: Final answer
    x = 49,924,393.81

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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.