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Finding the Third Proportional to 5,764,708 and 12,513,992

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Solution

The third proportional to 5,764,708 and 12,513,992 is: 27,165,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764,708 : 12,513,992 = 12,513,992 : x
  2. Step 2: Convert to fraction form
    5,764,708/12,513,992 = 12,513,992/x
  3. Step 3: Cross multiply
    5,764,708x = 12,513,992 × 12,513,992
  4. Step 4: Simplify right side
    5,764,708x = 156,599,995,776,064
  5. Step 5: Solve for x
    x = 156,599,995,776,064/5,764,708
  6. Step 6: Final answer
    x = 27,165,295.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.