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Finding the Third Proportional to 5,455,737 and 11,486,574

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Solution

The third proportional to 5,455,737 and 11,486,574 is: 24,183,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455,737 : 11,486,574 = 11,486,574 : x
  2. Step 2: Convert to fraction form
    5,455,737/11,486,574 = 11,486,574/x
  3. Step 3: Cross multiply
    5,455,737x = 11,486,574 × 11,486,574
  4. Step 4: Simplify right side
    5,455,737x = 131,941,382,257,476
  5. Step 5: Solve for x
    x = 131,941,382,257,476/5,455,737
  6. Step 6: Final answer
    x = 24,183,970.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.