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Finding the Third Proportional to 2,900,684 and 6,375,640

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Solution

The third proportional to 2,900,684 and 6,375,640 is: 14,013,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900,684 : 6,375,640 = 6,375,640 : x
  2. Step 2: Convert to fraction form
    2,900,684/6,375,640 = 6,375,640/x
  3. Step 3: Cross multiply
    2,900,684x = 6,375,640 × 6,375,640
  4. Step 4: Simplify right side
    2,900,684x = 40,648,785,409,600
  5. Step 5: Solve for x
    x = 40,648,785,409,600/2,900,684
  6. Step 6: Final answer
    x = 14,013,517.30

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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.