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Finding the Third Proportional to 5,861,266 and 12,496,724

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Solution

The third proportional to 5,861,266 and 12,496,724 is: 26,644,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861,266 : 12,496,724 = 12,496,724 : x
  2. Step 2: Convert to fraction form
    5,861,266/12,496,724 = 12,496,724/x
  3. Step 3: Cross multiply
    5,861,266x = 12,496,724 × 12,496,724
  4. Step 4: Simplify right side
    5,861,266x = 156,168,110,732,176
  5. Step 5: Solve for x
    x = 156,168,110,732,176/5,861,266
  6. Step 6: Final answer
    x = 26,644,092.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.