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Finding the Third Proportional to 233,647,597 and 498,567,713

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Solution

The third proportional to 233,647,597 and 498,567,713 is: 1,063,866,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647,597 : 498,567,713 = 498,567,713 : x
  2. Step 2: Convert to fraction form
    233,647,597/498,567,713 = 498,567,713/x
  3. Step 3: Cross multiply
    233,647,597x = 498,567,713 × 498,567,713
  4. Step 4: Simplify right side
    233,647,597x = 248,569,764,446,050,368
  5. Step 5: Solve for x
    x = 248,569,764,446,050,368/233,647,597
  6. Step 6: Final answer
    x = 1,063,866,128.47

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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.