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Finding the Third Proportional to 10,421,850 and 22,964,034

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Solution

The third proportional to 10,421,850 and 22,964,034 is: 50,600,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421,850 : 22,964,034 = 22,964,034 : x
  2. Step 2: Convert to fraction form
    10,421,850/22,964,034 = 22,964,034/x
  3. Step 3: Cross multiply
    10,421,850x = 22,964,034 × 22,964,034
  4. Step 4: Simplify right side
    10,421,850x = 527,346,857,553,156
  5. Step 5: Solve for x
    x = 527,346,857,553,156/10,421,850
  6. Step 6: Final answer
    x = 50,600,119.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.