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Finding the Third Proportional to 3,135,724 and 6,869,320

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Solution

The third proportional to 3,135,724 and 6,869,320 is: 15,048,377.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,724 : 6,869,320 = 6,869,320 : x
  2. Step 2: Convert to fraction form
    3,135,724/6,869,320 = 6,869,320/x
  3. Step 3: Cross multiply
    3,135,724x = 6,869,320 × 6,869,320
  4. Step 4: Simplify right side
    3,135,724x = 47,187,557,262,400
  5. Step 5: Solve for x
    x = 47,187,557,262,400/3,135,724
  6. Step 6: Final answer
    x = 15,048,377.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.