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Finding the Third Proportional to 370,272,928 and 796,270,508

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Solution

The third proportional to 370,272,928 and 796,270,508 is: 1,712,376,665.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,272,928 : 796,270,508 = 796,270,508 : x
  2. Step 2: Convert to fraction form
    370,272,928/796,270,508 = 796,270,508/x
  3. Step 3: Cross multiply
    370,272,928x = 796,270,508 × 796,270,508
  4. Step 4: Simplify right side
    370,272,928x = 634,046,721,910,578,048
  5. Step 5: Solve for x
    x = 634,046,721,910,578,048/370,272,928
  6. Step 6: Final answer
    x = 1,712,376,665.87

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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.