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Finding the Third Proportional to 5,611,074 and 12,272,124

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Solution

The third proportional to 5,611,074 and 12,272,124 is: 26,840,677.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611,074 : 12,272,124 = 12,272,124 : x
  2. Step 2: Convert to fraction form
    5,611,074/12,272,124 = 12,272,124/x
  3. Step 3: Cross multiply
    5,611,074x = 12,272,124 × 12,272,124
  4. Step 4: Simplify right side
    5,611,074x = 150,605,027,471,376
  5. Step 5: Solve for x
    x = 150,605,027,471,376/5,611,074
  6. Step 6: Final answer
    x = 26,840,677.47

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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.