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Finding the Third Proportional to 3,135,726 and 6,869,324

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Solution

The third proportional to 3,135,726 and 6,869,324 is: 15,048,385.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,726 : 6,869,324 = 6,869,324 : x
  2. Step 2: Convert to fraction form
    3,135,726/6,869,324 = 6,869,324/x
  3. Step 3: Cross multiply
    3,135,726x = 6,869,324 × 6,869,324
  4. Step 4: Simplify right side
    3,135,726x = 47,187,612,216,976
  5. Step 5: Solve for x
    x = 47,187,612,216,976/3,135,726
  6. Step 6: Final answer
    x = 15,048,385.04

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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.