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Finding the Third Proportional to 2,171,267,382 and 4,740,718,797

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Solution

The third proportional to 2,171,267,382 and 4,740,718,797 is: 10,350,827,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,267,382 : 4,740,718,797 = 4,740,718,797 : x
  2. Step 2: Convert to fraction form
    2,171,267,382/4,740,718,797 = 4,740,718,797/x
  3. Step 3: Cross multiply
    2,171,267,382x = 4,740,718,797 × 4,740,718,797
  4. Step 4: Simplify right side
    2,171,267,382x = 22,474,414,712,229,126,144
  5. Step 5: Solve for x
    x = 22,474,414,712,229,126,144/2,171,267,382
  6. Step 6: Final answer
    x = 10,350,827,769.32

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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.