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Finding the Third Proportional to 5,677,638 and 12,454,470

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Solution

The third proportional to 5,677,638 and 12,454,470 is: 27,320,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,638 : 12,454,470 = 12,454,470 : x
  2. Step 2: Convert to fraction form
    5,677,638/12,454,470 = 12,454,470/x
  3. Step 3: Cross multiply
    5,677,638x = 12,454,470 × 12,454,470
  4. Step 4: Simplify right side
    5,677,638x = 155,113,822,980,900
  5. Step 5: Solve for x
    x = 155,113,822,980,900/5,677,638
  6. Step 6: Final answer
    x = 27,320,132.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.