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Finding the Third Proportional to 61,674,330 and 137,135,100

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Solution

The third proportional to 61,674,330 and 137,135,100 is: 304,924,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,674,330 : 137,135,100 = 137,135,100 : x
  2. Step 2: Convert to fraction form
    61,674,330/137,135,100 = 137,135,100/x
  3. Step 3: Cross multiply
    61,674,330x = 137,135,100 × 137,135,100
  4. Step 4: Simplify right side
    61,674,330x = 18,806,035,652,010,000
  5. Step 5: Solve for x
    x = 18,806,035,652,010,000/61,674,330
  6. Step 6: Final answer
    x = 304,924,847.21

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.