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Finding the Third Proportional to 6,283,746 and 13,687,224

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Solution

The third proportional to 6,283,746 and 13,687,224 is: 29,813,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,746 : 13,687,224 = 13,687,224 : x
  2. Step 2: Convert to fraction form
    6,283,746/13,687,224 = 13,687,224/x
  3. Step 3: Cross multiply
    6,283,746x = 13,687,224 × 13,687,224
  4. Step 4: Simplify right side
    6,283,746x = 187,340,100,826,176
  5. Step 5: Solve for x
    x = 187,340,100,826,176/6,283,746
  6. Step 6: Final answer
    x = 29,813,442.62

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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.