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Finding the Third Proportional to 768,311,577 and 1,653,151,729.50

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Solution

The third proportional to 768,311,577 and 1,653,151,729.50 is: 3,557,034,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,311,577 : 1,653,151,729.50 = 1,653,151,729.50 : x
  2. Step 2: Convert to fraction form
    768,311,577/1,653,151,729.50 = 1,653,151,729.50/x
  3. Step 3: Cross multiply
    768,311,577x = 1,653,151,729.50 × 1,653,151,729.50
  4. Step 4: Simplify right side
    768,311,577x = 2,732,910,640,748,840,960
  5. Step 5: Solve for x
    x = 2,732,910,640,748,840,960/768,311,577
  6. Step 6: Final answer
    x = 3,557,034,310.77

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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.