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Finding the Third Proportional to 2,192,900,185 and 4,787,644,387

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Solution

The third proportional to 2,192,900,185 and 4,787,644,387 is: 10,452,613,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192,900,185 : 4,787,644,387 = 4,787,644,387 : x
  2. Step 2: Convert to fraction form
    2,192,900,185/4,787,644,387 = 4,787,644,387/x
  3. Step 3: Cross multiply
    2,192,900,185x = 4,787,644,387 × 4,787,644,387
  4. Step 4: Simplify right side
    2,192,900,185x = 22,921,538,776,372,604,928
  5. Step 5: Solve for x
    x = 22,921,538,776,372,604,928/2,192,900,185
  6. Step 6: Final answer
    x = 10,452,613,818.52

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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.