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Finding the Third Proportional to 49,814,821 and 109,436,636

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Solution

The third proportional to 49,814,821 and 109,436,636 is: 240,417,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814,821 : 109,436,636 = 109,436,636 : x
  2. Step 2: Convert to fraction form
    49,814,821/109,436,636 = 109,436,636/x
  3. Step 3: Cross multiply
    49,814,821x = 109,436,636 × 109,436,636
  4. Step 4: Simplify right side
    49,814,821x = 11,976,377,298,996,496
  5. Step 5: Solve for x
    x = 11,976,377,298,996,496/49,814,821
  6. Step 6: Final answer
    x = 240,417,953.10

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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.