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Finding the Third Proportional to 12,138,340 and 26,003,716

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Solution

The third proportional to 12,138,340 and 26,003,716 is: 55,707,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138,340 : 26,003,716 = 26,003,716 : x
  2. Step 2: Convert to fraction form
    12,138,340/26,003,716 = 26,003,716/x
  3. Step 3: Cross multiply
    12,138,340x = 26,003,716 × 26,003,716
  4. Step 4: Simplify right side
    12,138,340x = 676,193,245,808,656
  5. Step 5: Solve for x
    x = 676,193,245,808,656/12,138,340
  6. Step 6: Final answer
    x = 55,707,225.68

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Why These Related Problems?

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