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Finding the Third Proportional to 5,957,534 and 12,859,853

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Solution

The third proportional to 5,957,534 and 12,859,853 is: 27,759,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957,534 : 12,859,853 = 12,859,853 : x
  2. Step 2: Convert to fraction form
    5,957,534/12,859,853 = 12,859,853/x
  3. Step 3: Cross multiply
    5,957,534x = 12,859,853 × 12,859,853
  4. Step 4: Simplify right side
    5,957,534x = 165,375,819,181,609
  5. Step 5: Solve for x
    x = 165,375,819,181,609/5,957,534
  6. Step 6: Final answer
    x = 27,759,106.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.