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Finding the Third Proportional to 534,295,864 and 817,333,443

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Solution

The third proportional to 534,295,864 and 817,333,443 is: 1,250,307,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,295,864 : 817,333,443 = 817,333,443 : x
  2. Step 2: Convert to fraction form
    534,295,864/817,333,443 = 817,333,443/x
  3. Step 3: Cross multiply
    534,295,864x = 817,333,443 × 817,333,443
  4. Step 4: Simplify right side
    534,295,864x = 668,033,957,046,234,240
  5. Step 5: Solve for x
    x = 668,033,957,046,234,240/534,295,864
  6. Step 6: Final answer
    x = 1,250,307,183.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.