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Finding the Third Proportional to 3,140,398 and 6,900,117

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Solution

The third proportional to 3,140,398 and 6,900,117 is: 15,161,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,398 : 6,900,117 = 6,900,117 : x
  2. Step 2: Convert to fraction form
    3,140,398/6,900,117 = 6,900,117/x
  3. Step 3: Cross multiply
    3,140,398x = 6,900,117 × 6,900,117
  4. Step 4: Simplify right side
    3,140,398x = 47,611,614,613,689
  5. Step 5: Solve for x
    x = 47,611,614,613,689/3,140,398
  6. Step 6: Final answer
    x = 15,161,012.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.