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Finding the Third Proportional to 5,394,706.31 and 11,558,894.06

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Solution

The third proportional to 5,394,706.31 and 11,558,894.06 is: 24,766,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,706.31 : 11,558,894.06 = 11,558,894.06 : x
  2. Step 2: Convert to fraction form
    5,394,706.31/11,558,894.06 = 11,558,894.06/x
  3. Step 3: Cross multiply
    5,394,706.31x = 11,558,894.06 × 11,558,894.06
  4. Step 4: Simplify right side
    5,394,706.31x = 133,608,031,948,097.75
  5. Step 5: Solve for x
    x = 133,608,031,948,097.75/5,394,706.31
  6. Step 6: Final answer
    x = 24,766,507.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.