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Finding the Third Proportional to 5,332,538 and 8,587,143

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Solution

The third proportional to 5,332,538 and 8,587,143 is: 13,828,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332,538 : 8,587,143 = 8,587,143 : x
  2. Step 2: Convert to fraction form
    5,332,538/8,587,143 = 8,587,143/x
  3. Step 3: Cross multiply
    5,332,538x = 8,587,143 × 8,587,143
  4. Step 4: Simplify right side
    5,332,538x = 73,739,024,902,449
  5. Step 5: Solve for x
    x = 73,739,024,902,449/5,332,538
  6. Step 6: Final answer
    x = 13,828,129.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.