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Finding the Third Proportional to 16,437,870 and 26,178,957

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Solution

The third proportional to 16,437,870 and 26,178,957 is: 41,692,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,437,870 : 26,178,957 = 26,178,957 : x
  2. Step 2: Convert to fraction form
    16,437,870/26,178,957 = 26,178,957/x
  3. Step 3: Cross multiply
    16,437,870x = 26,178,957 × 26,178,957
  4. Step 4: Simplify right side
    16,437,870x = 685,337,789,607,849
  5. Step 5: Solve for x
    x = 685,337,789,607,849/16,437,870
  6. Step 6: Final answer
    x = 41,692,615.26

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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.