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Finding the Third Proportional to 5,957,670 and 12,859,854

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Solution

The third proportional to 5,957,670 and 12,859,854 is: 27,758,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957,670 : 12,859,854 = 12,859,854 : x
  2. Step 2: Convert to fraction form
    5,957,670/12,859,854 = 12,859,854/x
  3. Step 3: Cross multiply
    5,957,670x = 12,859,854 × 12,859,854
  4. Step 4: Simplify right side
    5,957,670x = 165,375,844,901,316
  5. Step 5: Solve for x
    x = 165,375,844,901,316/5,957,670
  6. Step 6: Final answer
    x = 27,758,476.87

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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.