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Finding the Third Proportional to 37,245,213 and 80,182,656

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Solution

The third proportional to 37,245,213 and 80,182,656 is: 172,619,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,245,213 : 80,182,656 = 80,182,656 : x
  2. Step 2: Convert to fraction form
    37,245,213/80,182,656 = 80,182,656/x
  3. Step 3: Cross multiply
    37,245,213x = 80,182,656 × 80,182,656
  4. Step 4: Simplify right side
    37,245,213x = 6,429,258,323,214,336
  5. Step 5: Solve for x
    x = 6,429,258,323,214,336/37,245,213
  6. Step 6: Final answer
    x = 172,619,722.25

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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.