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Finding the Third Proportional to 2,746,614 and 5,966,093

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Solution

The third proportional to 2,746,614 and 5,966,093 is: 12,959,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,614 : 5,966,093 = 5,966,093 : x
  2. Step 2: Convert to fraction form
    2,746,614/5,966,093 = 5,966,093/x
  3. Step 3: Cross multiply
    2,746,614x = 5,966,093 × 5,966,093
  4. Step 4: Simplify right side
    2,746,614x = 35,594,265,684,649
  5. Step 5: Solve for x
    x = 35,594,265,684,649/2,746,614
  6. Step 6: Final answer
    x = 12,959,325.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.