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Finding the Third Proportional to 1,550,471,872 and 2,383,182,636

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Solution

The third proportional to 1,550,471,872 and 2,383,182,636 is: 3,663,116,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550,471,872 : 2,383,182,636 = 2,383,182,636 : x
  2. Step 2: Convert to fraction form
    1,550,471,872/2,383,182,636 = 2,383,182,636/x
  3. Step 3: Cross multiply
    1,550,471,872x = 2,383,182,636 × 2,383,182,636
  4. Step 4: Simplify right side
    1,550,471,872x = 5,679,559,476,531,908,608
  5. Step 5: Solve for x
    x = 5,679,559,476,531,908,608/1,550,471,872
  6. Step 6: Final answer
    x = 3,663,116,744.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.