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Finding the Third Proportional to 3,120,966 and 6,813,468

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Solution

The third proportional to 3,120,966 and 6,813,468 is: 14,874,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120,966 : 6,813,468 = 6,813,468 : x
  2. Step 2: Convert to fraction form
    3,120,966/6,813,468 = 6,813,468/x
  3. Step 3: Cross multiply
    3,120,966x = 6,813,468 × 6,813,468
  4. Step 4: Simplify right side
    3,120,966x = 46,423,346,187,024
  5. Step 5: Solve for x
    x = 46,423,346,187,024/3,120,966
  6. Step 6: Final answer
    x = 14,874,672.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.