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Finding the Third Proportional to 498,515,042 and 1,153,972,058

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Solution

The third proportional to 498,515,042 and 1,153,972,058 is: 2,671,236,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,515,042 : 1,153,972,058 = 1,153,972,058 : x
  2. Step 2: Convert to fraction form
    498,515,042/1,153,972,058 = 1,153,972,058/x
  3. Step 3: Cross multiply
    498,515,042x = 1,153,972,058 × 1,153,972,058
  4. Step 4: Simplify right side
    498,515,042x = 1,331,651,510,644,755,456
  5. Step 5: Solve for x
    x = 1,331,651,510,644,755,456/498,515,042
  6. Step 6: Final answer
    x = 2,671,236,368.92

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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.