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Finding the Third Proportional to 498,515,022 and 1,153,972,008

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Solution

The third proportional to 498,515,022 and 1,153,972,008 is: 2,671,236,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,515,022 : 1,153,972,008 = 1,153,972,008 : x
  2. Step 2: Convert to fraction form
    498,515,022/1,153,972,008 = 1,153,972,008/x
  3. Step 3: Cross multiply
    498,515,022x = 1,153,972,008 × 1,153,972,008
  4. Step 4: Simplify right side
    498,515,022x = 1,331,651,395,247,552,000
  5. Step 5: Solve for x
    x = 1,331,651,395,247,552,000/498,515,022
  6. Step 6: Final answer
    x = 2,671,236,244.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.