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Finding the Third Proportional to 37,984,956 and 77,312,325

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Solution

The third proportional to 37,984,956 and 77,312,325 is: 157,356,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,984,956 : 77,312,325 = 77,312,325 : x
  2. Step 2: Convert to fraction form
    37,984,956/77,312,325 = 77,312,325/x
  3. Step 3: Cross multiply
    37,984,956x = 77,312,325 × 77,312,325
  4. Step 4: Simplify right side
    37,984,956x = 5,977,195,596,905,625
  5. Step 5: Solve for x
    x = 5,977,195,596,905,625/37,984,956
  6. Step 6: Final answer
    x = 157,356,917.75

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.