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Finding the Third Proportional to 4,146,663 and 6,188,013

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Solution

The third proportional to 4,146,663 and 6,188,013 is: 9,234,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,663 : 6,188,013 = 6,188,013 : x
  2. Step 2: Convert to fraction form
    4,146,663/6,188,013 = 6,188,013/x
  3. Step 3: Cross multiply
    4,146,663x = 6,188,013 × 6,188,013
  4. Step 4: Simplify right side
    4,146,663x = 38,291,504,888,169
  5. Step 5: Solve for x
    x = 38,291,504,888,169/4,146,663
  6. Step 6: Final answer
    x = 9,234,293.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.