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Finding the Third Proportional to 3,135,715 and 6,869,317

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Solution

The third proportional to 3,135,715 and 6,869,317 is: 15,048,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135,715 : 6,869,317 = 6,869,317 : x
  2. Step 2: Convert to fraction form
    3,135,715/6,869,317 = 6,869,317/x
  3. Step 3: Cross multiply
    3,135,715x = 6,869,317 × 6,869,317
  4. Step 4: Simplify right side
    3,135,715x = 47,187,516,046,489
  5. Step 5: Solve for x
    x = 47,187,516,046,489/3,135,715
  6. Step 6: Final answer
    x = 15,048,407.16

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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.