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Finding the Third Proportional to 37,679,647.50 and 81,132,883.88

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Solution

The third proportional to 37,679,647.50 and 81,132,883.88 is: 174,697,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,679,647.50 : 81,132,883.88 = 81,132,883.88 : x
  2. Step 2: Convert to fraction form
    37,679,647.50/81,132,883.88 = 81,132,883.88/x
  3. Step 3: Cross multiply
    37,679,647.50x = 81,132,883.88 × 81,132,883.88
  4. Step 4: Simplify right side
    37,679,647.50x = 6,582,544,845,874,235
  5. Step 5: Solve for x
    x = 6,582,544,845,874,235/37,679,647.50
  6. Step 6: Final answer
    x = 174,697,622.79

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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.