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Finding the Third Proportional to 684,141,816 and 1,493,687,103

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Solution

The third proportional to 684,141,816 and 1,493,687,103 is: 3,261,167,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,141,816 : 1,493,687,103 = 1,493,687,103 : x
  2. Step 2: Convert to fraction form
    684,141,816/1,493,687,103 = 1,493,687,103/x
  3. Step 3: Cross multiply
    684,141,816x = 1,493,687,103 × 1,493,687,103
  4. Step 4: Simplify right side
    684,141,816x = 2,231,101,161,668,532,736
  5. Step 5: Solve for x
    x = 2,231,101,161,668,532,736/684,141,816
  6. Step 6: Final answer
    x = 3,261,167,654.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.