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Finding the Third Proportional to 5,957,370 and 9,205,650

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Solution

The third proportional to 5,957,370 and 9,205,650 is: 14,225,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957,370 : 9,205,650 = 9,205,650 : x
  2. Step 2: Convert to fraction form
    5,957,370/9,205,650 = 9,205,650/x
  3. Step 3: Cross multiply
    5,957,370x = 9,205,650 × 9,205,650
  4. Step 4: Simplify right side
    5,957,370x = 84,743,991,922,500
  5. Step 5: Solve for x
    x = 84,743,991,922,500/5,957,370
  6. Step 6: Final answer
    x = 14,225,067.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.