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Finding the Third Proportional to 16,437,876 and 26,178,966

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Solution

The third proportional to 16,437,876 and 26,178,966 is: 41,692,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437,876 : 26,178,966 = 26,178,966 : x
  2. Step 2: Convert to fraction form
    16,437,876/26,178,966 = 26,178,966/x
  3. Step 3: Cross multiply
    16,437,876x = 26,178,966 × 26,178,966
  4. Step 4: Simplify right side
    16,437,876x = 685,338,260,829,156
  5. Step 5: Solve for x
    x = 685,338,260,829,156/16,437,876
  6. Step 6: Final answer
    x = 41,692,628.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.