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Finding the Third Proportional to 4,236,092,212 and 9,234,919,352

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Solution

The third proportional to 4,236,092,212 and 9,234,919,352 is: 20,132,643,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236,092,212 : 9,234,919,352 = 9,234,919,352 : x
  2. Step 2: Convert to fraction form
    4,236,092,212/9,234,919,352 = 9,234,919,352/x
  3. Step 3: Cross multiply
    4,236,092,212x = 9,234,919,352 × 9,234,919,352
  4. Step 4: Simplify right side
    4,236,092,212x = 85,283,735,437,944,094,720
  5. Step 5: Solve for x
    x = 85,283,735,437,944,094,720/4,236,092,212
  6. Step 6: Final answer
    x = 20,132,643,759.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.