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Finding the Third Proportional to 6,301,854 and 13,744,380

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Solution

The third proportional to 6,301,854 and 13,744,380 is: 29,976,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301,854 : 13,744,380 = 13,744,380 : x
  2. Step 2: Convert to fraction form
    6,301,854/13,744,380 = 13,744,380/x
  3. Step 3: Cross multiply
    6,301,854x = 13,744,380 × 13,744,380
  4. Step 4: Simplify right side
    6,301,854x = 188,907,981,584,400
  5. Step 5: Solve for x
    x = 188,907,981,584,400/6,301,854
  6. Step 6: Final answer
    x = 29,976,572.23

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