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Finding the Third Proportional to 49,814,819 and 109,436,632

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Solution

The third proportional to 49,814,819 and 109,436,632 is: 240,417,945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,814,819 : 109,436,632 = 109,436,632 : x
  2. Step 2: Convert to fraction form
    49,814,819/109,436,632 = 109,436,632/x
  3. Step 3: Cross multiply
    49,814,819x = 109,436,632 × 109,436,632
  4. Step 4: Simplify right side
    49,814,819x = 11,976,376,423,503,424
  5. Step 5: Solve for x
    x = 11,976,376,423,503,424/49,814,819
  6. Step 6: Final answer
    x = 240,417,945.18

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