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Finding the Third Proportional to 684,141,859 and 1,493,687,189

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Solution

The third proportional to 684,141,859 and 1,493,687,189 is: 3,261,167,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,141,859 : 1,493,687,189 = 1,493,687,189 : x
  2. Step 2: Convert to fraction form
    684,141,859/1,493,687,189 = 1,493,687,189/x
  3. Step 3: Cross multiply
    684,141,859x = 1,493,687,189 × 1,493,687,189
  4. Step 4: Simplify right side
    684,141,859x = 2,231,101,418,582,721,792
  5. Step 5: Solve for x
    x = 2,231,101,418,582,721,792/684,141,859
  6. Step 6: Final answer
    x = 3,261,167,825.40

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Why These Related Problems?

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