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Finding the Third Proportional to 5,006,574 and 10,278,559.13

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Solution

The third proportional to 5,006,574 and 10,278,559.13 is: 21,102,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006,574 : 10,278,559.13 = 10,278,559.13 : x
  2. Step 2: Convert to fraction form
    5,006,574/10,278,559.13 = 10,278,559.13/x
  3. Step 3: Cross multiply
    5,006,574x = 10,278,559.13 × 10,278,559.13
  4. Step 4: Simplify right side
    5,006,574x = 105,648,777,686,120.77
  5. Step 5: Solve for x
    x = 105,648,777,686,120.77/5,006,574
  6. Step 6: Final answer
    x = 21,102,010.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.