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Finding the Third Proportional to 1,191,844,679 and 2,565,839,577

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Solution

The third proportional to 1,191,844,679 and 2,565,839,577 is: 5,523,817,701.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,844,679 : 2,565,839,577 = 2,565,839,577 : x
  2. Step 2: Convert to fraction form
    1,191,844,679/2,565,839,577 = 2,565,839,577/x
  3. Step 3: Cross multiply
    1,191,844,679x = 2,565,839,577 × 2,565,839,577
  4. Step 4: Simplify right side
    1,191,844,679x = 6,583,532,734,899,538,944
  5. Step 5: Solve for x
    x = 6,583,532,734,899,538,944/1,191,844,679
  6. Step 6: Final answer
    x = 5,523,817,701.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.