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Finding the Third Proportional to 5,677,658 and 12,454,526

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Solution

The third proportional to 5,677,658 and 12,454,526 is: 27,320,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,658 : 12,454,526 = 12,454,526 : x
  2. Step 2: Convert to fraction form
    5,677,658/12,454,526 = 12,454,526/x
  3. Step 3: Cross multiply
    5,677,658x = 12,454,526 × 12,454,526
  4. Step 4: Simplify right side
    5,677,658x = 155,115,217,884,676
  5. Step 5: Solve for x
    x = 155,115,217,884,676/5,677,658
  6. Step 6: Final answer
    x = 27,320,282.04

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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.