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Finding the Third Proportional to 233,647,575 and 498,567,669

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Solution

The third proportional to 233,647,575 and 498,567,669 is: 1,063,866,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647,575 : 498,567,669 = 498,567,669 : x
  2. Step 2: Convert to fraction form
    233,647,575/498,567,669 = 498,567,669/x
  3. Step 3: Cross multiply
    233,647,575x = 498,567,669 × 498,567,669
  4. Step 4: Simplify right side
    233,647,575x = 248,569,720,572,093,568
  5. Step 5: Solve for x
    x = 248,569,720,572,093,568/233,647,575
  6. Step 6: Final answer
    x = 1,063,866,040.86

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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.