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Finding the Third Proportional to 5,746,863 and 12,274,478

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Solution

The third proportional to 5,746,863 and 12,274,478 is: 26,216,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,863 : 12,274,478 = 12,274,478 : x
  2. Step 2: Convert to fraction form
    5,746,863/12,274,478 = 12,274,478/x
  3. Step 3: Cross multiply
    5,746,863x = 12,274,478 × 12,274,478
  4. Step 4: Simplify right side
    5,746,863x = 150,662,810,172,484
  5. Step 5: Solve for x
    x = 150,662,810,172,484/5,746,863
  6. Step 6: Final answer
    x = 26,216,530.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.