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Finding the Third Proportional to 1,412,576,761 and 3,299,366,617

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Solution

The third proportional to 1,412,576,761 and 3,299,366,617 is: 7,706,356,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,576,761 : 3,299,366,617 = 3,299,366,617 : x
  2. Step 2: Convert to fraction form
    1,412,576,761/3,299,366,617 = 3,299,366,617/x
  3. Step 3: Cross multiply
    1,412,576,761x = 3,299,366,617 × 3,299,366,617
  4. Step 4: Simplify right side
    1,412,576,761x = 10,885,820,073,374,023,680
  5. Step 5: Solve for x
    x = 10,885,820,073,374,023,680/1,412,576,761
  6. Step 6: Final answer
    x = 7,706,356,478.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.