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Finding the Third Proportional to 747,721,533 and 1,627,107,563

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Solution

The third proportional to 747,721,533 and 1,627,107,563 is: 3,540,728,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,721,533 : 1,627,107,563 = 1,627,107,563 : x
  2. Step 2: Convert to fraction form
    747,721,533/1,627,107,563 = 1,627,107,563/x
  3. Step 3: Cross multiply
    747,721,533x = 1,627,107,563 × 1,627,107,563
  4. Step 4: Simplify right side
    747,721,533x = 2,647,479,021,571,799,040
  5. Step 5: Solve for x
    x = 2,647,479,021,571,799,040/747,721,533
  6. Step 6: Final answer
    x = 3,540,728,606.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.