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Finding the Third Proportional to 1,179,145,555 and 2,523,933,031

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Solution

The third proportional to 1,179,145,555 and 2,523,933,031 is: 5,402,418,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,145,555 : 2,523,933,031 = 2,523,933,031 : x
  2. Step 2: Convert to fraction form
    1,179,145,555/2,523,933,031 = 2,523,933,031/x
  3. Step 3: Cross multiply
    1,179,145,555x = 2,523,933,031 × 2,523,933,031
  4. Step 4: Simplify right side
    1,179,145,555x = 6,370,237,944,972,847,104
  5. Step 5: Solve for x
    x = 6,370,237,944,972,847,104/1,179,145,555
  6. Step 6: Final answer
    x = 5,402,418,656.43

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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.