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Finding the Third Proportional to 1,459,769,069 and 3,023,011,677

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Solution

The third proportional to 1,459,769,069 and 3,023,011,677 is: 6,260,304,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459,769,069 : 3,023,011,677 = 3,023,011,677 : x
  2. Step 2: Convert to fraction form
    1,459,769,069/3,023,011,677 = 3,023,011,677/x
  3. Step 3: Cross multiply
    1,459,769,069x = 3,023,011,677 × 3,023,011,677
  4. Step 4: Simplify right side
    1,459,769,069x = 9,138,599,599,278,352,384
  5. Step 5: Solve for x
    x = 9,138,599,599,278,352,384/1,459,769,069
  6. Step 6: Final answer
    x = 6,260,304,998.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.