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Finding the Third Proportional to 689,471,334 and 1,531,995,732

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Solution

The third proportional to 689,471,334 and 1,531,995,732 is: 3,404,073,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,471,334 : 1,531,995,732 = 1,531,995,732 : x
  2. Step 2: Convert to fraction form
    689,471,334/1,531,995,732 = 1,531,995,732/x
  3. Step 3: Cross multiply
    689,471,334x = 1,531,995,732 × 1,531,995,732
  4. Step 4: Simplify right side
    689,471,334x = 2,347,010,922,866,215,936
  5. Step 5: Solve for x
    x = 2,347,010,922,866,215,936/689,471,334
  6. Step 6: Final answer
    x = 3,404,073,247.32

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Why These Related Problems?

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