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Finding the Third Proportional to 268,118,847 and 409,969,971

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Solution

The third proportional to 268,118,847 and 409,969,971 is: 626,868,938.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,118,847 : 409,969,971 = 409,969,971 : x
  2. Step 2: Convert to fraction form
    268,118,847/409,969,971 = 409,969,971/x
  3. Step 3: Cross multiply
    268,118,847x = 409,969,971 × 409,969,971
  4. Step 4: Simplify right side
    268,118,847x = 168,075,377,121,740,832
  5. Step 5: Solve for x
    x = 168,075,377,121,740,832/268,118,847
  6. Step 6: Final answer
    x = 626,868,938.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.