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Finding the Third Proportional to 38,813,670,072 and 59,622,545,664

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Solution

The third proportional to 38,813,670,072 and 59,622,545,664 is: 91,587,524,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,813,670,072 : 59,622,545,664 = 59,622,545,664 : x
  2. Step 2: Convert to fraction form
    38,813,670,072/59,622,545,664 = 59,622,545,664/x
  3. Step 3: Cross multiply
    38,813,670,072x = 59,622,545,664 × 59,622,545,664
  4. Step 4: Simplify right side
    38,813,670,072x = 3,554,847,951,455,765,135,360
  5. Step 5: Solve for x
    x = 3,554,847,951,455,765,135,360/38,813,670,072
  6. Step 6: Final answer
    x = 91,587,524,314.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.