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Finding the Third Proportional to 689,471,336 and 1,531,995,736

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Solution

The third proportional to 689,471,336 and 1,531,995,736 is: 3,404,073,255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,471,336 : 1,531,995,736 = 1,531,995,736 : x
  2. Step 2: Convert to fraction form
    689,471,336/1,531,995,736 = 1,531,995,736/x
  3. Step 3: Cross multiply
    689,471,336x = 1,531,995,736 × 1,531,995,736
  4. Step 4: Simplify right side
    689,471,336x = 2,347,010,935,122,181,632
  5. Step 5: Solve for x
    x = 2,347,010,935,122,181,632/689,471,336
  6. Step 6: Final answer
    x = 3,404,073,255.23

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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.