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Finding the Third Proportional to 1,283,226,351 and 2,750,621,589

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Solution

The third proportional to 1,283,226,351 and 2,750,621,589 is: 5,896,012,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283,226,351 : 2,750,621,589 = 2,750,621,589 : x
  2. Step 2: Convert to fraction form
    1,283,226,351/2,750,621,589 = 2,750,621,589/x
  3. Step 3: Cross multiply
    1,283,226,351x = 2,750,621,589 × 2,750,621,589
  4. Step 4: Simplify right side
    1,283,226,351x = 7,565,919,125,872,884,736
  5. Step 5: Solve for x
    x = 7,565,919,125,872,884,736/1,283,226,351
  6. Step 6: Final answer
    x = 5,896,012,905.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.