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Finding the Third Proportional to 2,071,440,869 and 4,436,709,562

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Solution

The third proportional to 2,071,440,869 and 4,436,709,562 is: 9,502,753,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,440,869 : 4,436,709,562 = 4,436,709,562 : x
  2. Step 2: Convert to fraction form
    2,071,440,869/4,436,709,562 = 4,436,709,562/x
  3. Step 3: Cross multiply
    2,071,440,869x = 4,436,709,562 × 4,436,709,562
  4. Step 4: Simplify right side
    2,071,440,869x = 19,684,391,737,542,230,016
  5. Step 5: Solve for x
    x = 19,684,391,737,542,230,016/2,071,440,869
  6. Step 6: Final answer
    x = 9,502,753,388.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.