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Finding the Third Proportional to 274,055,462 and 646,743,074

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Solution

The third proportional to 274,055,462 and 646,743,074 is: 1,526,248,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,055,462 : 646,743,074 = 646,743,074 : x
  2. Step 2: Convert to fraction form
    274,055,462/646,743,074 = 646,743,074/x
  3. Step 3: Cross multiply
    274,055,462x = 646,743,074 × 646,743,074
  4. Step 4: Simplify right side
    274,055,462x = 418,276,603,766,969,472
  5. Step 5: Solve for x
    x = 418,276,603,766,969,472/274,055,462
  6. Step 6: Final answer
    x = 1,526,248,010.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.