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Finding the Third Proportional to 37,708,056 and 80,996,656.50

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Solution

The third proportional to 37,708,056 and 80,996,656.50 is: 173,980,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,708,056 : 80,996,656.50 = 80,996,656.50 : x
  2. Step 2: Convert to fraction form
    37,708,056/80,996,656.50 = 80,996,656.50/x
  3. Step 3: Cross multiply
    37,708,056x = 80,996,656.50 × 80,996,656.50
  4. Step 4: Simplify right side
    37,708,056x = 6,560,458,364,178,992
  5. Step 5: Solve for x
    x = 6,560,458,364,178,992/37,708,056
  6. Step 6: Final answer
    x = 173,980,285.92

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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.