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Finding the Third Proportional to 11,099,976 and 22,506,156

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Solution

The third proportional to 11,099,976 and 22,506,156 is: 45,633,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099,976 : 22,506,156 = 22,506,156 : x
  2. Step 2: Convert to fraction form
    11,099,976/22,506,156 = 22,506,156/x
  3. Step 3: Cross multiply
    11,099,976x = 22,506,156 × 22,506,156
  4. Step 4: Simplify right side
    11,099,976x = 506,527,057,896,336
  5. Step 5: Solve for x
    x = 506,527,057,896,336/11,099,976
  6. Step 6: Final answer
    x = 45,633,166.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.