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Finding the Third Proportional to 16,437,900 and 26,178,996

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Solution

The third proportional to 16,437,900 and 26,178,996 is: 41,692,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437,900 : 26,178,996 = 26,178,996 : x
  2. Step 2: Convert to fraction form
    16,437,900/26,178,996 = 26,178,996/x
  3. Step 3: Cross multiply
    16,437,900x = 26,178,996 × 26,178,996
  4. Step 4: Simplify right side
    16,437,900x = 685,339,831,568,016
  5. Step 5: Solve for x
    x = 685,339,831,568,016/16,437,900
  6. Step 6: Final answer
    x = 41,692,663.39

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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.