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Finding the Third Proportional to 588,895,168 and 1,238,711,408

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Solution

The third proportional to 588,895,168 and 1,238,711,408 is: 2,605,567,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,895,168 : 1,238,711,408 = 1,238,711,408 : x
  2. Step 2: Convert to fraction form
    588,895,168/1,238,711,408 = 1,238,711,408/x
  3. Step 3: Cross multiply
    588,895,168x = 1,238,711,408 × 1,238,711,408
  4. Step 4: Simplify right side
    588,895,168x = 1,534,405,952,309,342,464
  5. Step 5: Solve for x
    x = 1,534,405,952,309,342,464/588,895,168
  6. Step 6: Final answer
    x = 2,605,567,231.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.