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Finding the Third Proportional to 1,068,957,978 and 2,235,653,472

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Solution

The third proportional to 1,068,957,978 and 2,235,653,472 is: 4,675,718,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,957,978 : 2,235,653,472 = 2,235,653,472 : x
  2. Step 2: Convert to fraction form
    1,068,957,978/2,235,653,472 = 2,235,653,472/x
  3. Step 3: Cross multiply
    1,068,957,978x = 2,235,653,472 × 2,235,653,472
  4. Step 4: Simplify right side
    1,068,957,978x = 4,998,146,446,865,654,784
  5. Step 5: Solve for x
    x = 4,998,146,446,865,654,784/1,068,957,978
  6. Step 6: Final answer
    x = 4,675,718,362.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.