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Finding the Third Proportional to 3,151,464 and 6,915,648

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Solution

The third proportional to 3,151,464 and 6,915,648 is: 15,175,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151,464 : 6,915,648 = 6,915,648 : x
  2. Step 2: Convert to fraction form
    3,151,464/6,915,648 = 6,915,648/x
  3. Step 3: Cross multiply
    3,151,464x = 6,915,648 × 6,915,648
  4. Step 4: Simplify right side
    3,151,464x = 47,826,187,259,904
  5. Step 5: Solve for x
    x = 47,826,187,259,904/3,151,464
  6. Step 6: Final answer
    x = 15,175,863.43

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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.