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Finding the Third Proportional to 37,739,080.50 and 82,310,008

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Solution

The third proportional to 37,739,080.50 and 82,310,008 is: 179,520,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,739,080.50 : 82,310,008 = 82,310,008 : x
  2. Step 2: Convert to fraction form
    37,739,080.50/82,310,008 = 82,310,008/x
  3. Step 3: Cross multiply
    37,739,080.50x = 82,310,008 × 82,310,008
  4. Step 4: Simplify right side
    37,739,080.50x = 6,774,937,416,960,064
  5. Step 5: Solve for x
    x = 6,774,937,416,960,064/37,739,080.50
  6. Step 6: Final answer
    x = 179,520,468.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.