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Finding the Third Proportional to 4,422,967,792 and 9,679,025,120

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Solution

The third proportional to 4,422,967,792 and 9,679,025,120 is: 21,181,146,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422,967,792 : 9,679,025,120 = 9,679,025,120 : x
  2. Step 2: Convert to fraction form
    4,422,967,792/9,679,025,120 = 9,679,025,120/x
  3. Step 3: Cross multiply
    4,422,967,792x = 9,679,025,120 × 9,679,025,120
  4. Step 4: Simplify right side
    4,422,967,792x = 93,683,527,273,591,013,376
  5. Step 5: Solve for x
    x = 93,683,527,273,591,013,376/4,422,967,792
  6. Step 6: Final answer
    x = 21,181,146,162.32

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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.