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Finding the Third Proportional to 5,500,802 and 13,006,373

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Solution

The third proportional to 5,500,802 and 13,006,373 is: 30,752,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500,802 : 13,006,373 = 13,006,373 : x
  2. Step 2: Convert to fraction form
    5,500,802/13,006,373 = 13,006,373/x
  3. Step 3: Cross multiply
    5,500,802x = 13,006,373 × 13,006,373
  4. Step 4: Simplify right side
    5,500,802x = 169,165,738,615,129
  5. Step 5: Solve for x
    x = 169,165,738,615,129/5,500,802
  6. Step 6: Final answer
    x = 30,752,922.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.