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Finding the Third Proportional to 5,218,674 and 10,584,084

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Solution

The third proportional to 5,218,674 and 10,584,084 is: 21,465,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218,674 : 10,584,084 = 10,584,084 : x
  2. Step 2: Convert to fraction form
    5,218,674/10,584,084 = 10,584,084/x
  3. Step 3: Cross multiply
    5,218,674x = 10,584,084 × 10,584,084
  4. Step 4: Simplify right side
    5,218,674x = 112,022,834,119,056
  5. Step 5: Solve for x
    x = 112,022,834,119,056/5,218,674
  6. Step 6: Final answer
    x = 21,465,765.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.