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Finding the Third Proportional to 5,346,567 and 11,498,851.13

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Solution

The third proportional to 5,346,567 and 11,498,851.13 is: 24,730,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,567 : 11,498,851.13 = 11,498,851.13 : x
  2. Step 2: Convert to fraction form
    5,346,567/11,498,851.13 = 11,498,851.13/x
  3. Step 3: Cross multiply
    5,346,567x = 11,498,851.13 × 11,498,851.13
  4. Step 4: Simplify right side
    5,346,567x = 132,223,577,194,913.77
  5. Step 5: Solve for x
    x = 132,223,577,194,913.77/5,346,567
  6. Step 6: Final answer
    x = 24,730,556.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.