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Finding the Third Proportional to 7,983,241 and 12,508,941

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Solution

The third proportional to 7,983,241 and 12,508,941 is: 19,600,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983,241 : 12,508,941 = 12,508,941 : x
  2. Step 2: Convert to fraction form
    7,983,241/12,508,941 = 12,508,941/x
  3. Step 3: Cross multiply
    7,983,241x = 12,508,941 × 12,508,941
  4. Step 4: Simplify right side
    7,983,241x = 156,473,604,941,481
  5. Step 5: Solve for x
    x = 156,473,604,941,481/7,983,241
  6. Step 6: Final answer
    x = 19,600,260.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.