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Finding the Third Proportional to 2,671,362 and 6,299,814

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Solution

The third proportional to 2,671,362 and 6,299,814 is: 14,856,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671,362 : 6,299,814 = 6,299,814 : x
  2. Step 2: Convert to fraction form
    2,671,362/6,299,814 = 6,299,814/x
  3. Step 3: Cross multiply
    2,671,362x = 6,299,814 × 6,299,814
  4. Step 4: Simplify right side
    2,671,362x = 39,687,656,434,596
  5. Step 5: Solve for x
    x = 39,687,656,434,596/2,671,362
  6. Step 6: Final answer
    x = 14,856,712.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.