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Finding the Third Proportional to 12,128,197 and 26,451,314

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Solution

The third proportional to 12,128,197 and 26,451,314 is: 57,689,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128,197 : 26,451,314 = 26,451,314 : x
  2. Step 2: Convert to fraction form
    12,128,197/26,451,314 = 26,451,314/x
  3. Step 3: Cross multiply
    12,128,197x = 26,451,314 × 26,451,314
  4. Step 4: Simplify right side
    12,128,197x = 699,672,012,326,596
  5. Step 5: Solve for x
    x = 699,672,012,326,596/12,128,197
  6. Step 6: Final answer
    x = 57,689,697.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.