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Finding the Third Proportional to 13,869,463.78 and 22,088,511.42

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Solution

The third proportional to 13,869,463.78 and 22,088,511.42 is: 35,178,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869,463.78 : 22,088,511.42 = 22,088,511.42 : x
  2. Step 2: Convert to fraction form
    13,869,463.78/22,088,511.42 = 22,088,511.42/x
  3. Step 3: Cross multiply
    13,869,463.78x = 22,088,511.42 × 22,088,511.42
  4. Step 4: Simplify right side
    13,869,463.78x = 487,902,336,834,302.31
  5. Step 5: Solve for x
    x = 487,902,336,834,302.31/13,869,463.78
  6. Step 6: Final answer
    x = 35,178,168.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.