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Finding the Third Proportional to 37,735,898 and 80,853,458

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Solution

The third proportional to 37,735,898 and 80,853,458 is: 173,237,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735,898 : 80,853,458 = 80,853,458 : x
  2. Step 2: Convert to fraction form
    37,735,898/80,853,458 = 80,853,458/x
  3. Step 3: Cross multiply
    37,735,898x = 80,853,458 × 80,853,458
  4. Step 4: Simplify right side
    37,735,898x = 6,537,281,670,557,764
  5. Step 5: Solve for x
    x = 6,537,281,670,557,764/37,735,898
  6. Step 6: Final answer
    x = 173,237,739.58

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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.