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Finding the Third Proportional to 37,245,206 and 80,182,641

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Solution

The third proportional to 37,245,206 and 80,182,641 is: 172,619,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,245,206 : 80,182,641 = 80,182,641 : x
  2. Step 2: Convert to fraction form
    37,245,206/80,182,641 = 80,182,641/x
  3. Step 3: Cross multiply
    37,245,206x = 80,182,641 × 80,182,641
  4. Step 4: Simplify right side
    37,245,206x = 6,429,255,917,734,881
  5. Step 5: Solve for x
    x = 6,429,255,917,734,881/37,245,206
  6. Step 6: Final answer
    x = 172,619,690.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.