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Finding the Third Proportional to 233,647,571 and 498,567,661

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Solution

The third proportional to 233,647,571 and 498,567,661 is: 1,063,866,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647,571 : 498,567,661 = 498,567,661 : x
  2. Step 2: Convert to fraction form
    233,647,571/498,567,661 = 498,567,661/x
  3. Step 3: Cross multiply
    233,647,571x = 498,567,661 × 498,567,661
  4. Step 4: Simplify right side
    233,647,571x = 248,569,712,595,010,912
  5. Step 5: Solve for x
    x = 248,569,712,595,010,912/233,647,571
  6. Step 6: Final answer
    x = 1,063,866,024.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.