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Finding the Third Proportional to 207,928,543,848 and 455,718,351,920

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Solution

The third proportional to 207,928,543,848 and 455,718,351,920 is: 998,800,897,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,928,543,848 : 455,718,351,920 = 455,718,351,920 : x
  2. Step 2: Convert to fraction form
    207,928,543,848/455,718,351,920 = 455,718,351,920/x
  3. Step 3: Cross multiply
    207,928,543,848x = 455,718,351,920 × 455,718,351,920
  4. Step 4: Simplify right side
    207,928,543,848x = 207,679,216,276,680,969,551,872
  5. Step 5: Solve for x
    x = 207,679,216,276,680,969,551,872/207,928,543,848
  6. Step 6: Final answer
    x = 998,800,897,814.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.