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Finding the Third Proportional to 1,096,221,844 and 2,586,972,286

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Solution

The third proportional to 1,096,221,844 and 2,586,972,286 is: 6,104,992,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,221,844 : 2,586,972,286 = 2,586,972,286 : x
  2. Step 2: Convert to fraction form
    1,096,221,844/2,586,972,286 = 2,586,972,286/x
  3. Step 3: Cross multiply
    1,096,221,844x = 2,586,972,286 × 2,586,972,286
  4. Step 4: Simplify right side
    1,096,221,844x = 6,692,425,608,532,066,304
  5. Step 5: Solve for x
    x = 6,692,425,608,532,066,304/1,096,221,844
  6. Step 6: Final answer
    x = 6,104,992,018.87

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Why These Related Problems?

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