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Finding the Third Proportional to 6,218,070 and 9,149,286

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Solution

The third proportional to 6,218,070 and 9,149,286 is: 13,462,285.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218,070 : 9,149,286 = 9,149,286 : x
  2. Step 2: Convert to fraction form
    6,218,070/9,149,286 = 9,149,286/x
  3. Step 3: Cross multiply
    6,218,070x = 9,149,286 × 9,149,286
  4. Step 4: Simplify right side
    6,218,070x = 83,709,434,309,796
  5. Step 5: Solve for x
    x = 83,709,434,309,796/6,218,070
  6. Step 6: Final answer
    x = 13,462,285.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.