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Finding the Third Proportional to 5,952,219,608 and 9,800,952,132

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Solution

The third proportional to 5,952,219,608 and 9,800,952,132 is: 16,138,292,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952,219,608 : 9,800,952,132 = 9,800,952,132 : x
  2. Step 2: Convert to fraction form
    5,952,219,608/9,800,952,132 = 9,800,952,132/x
  3. Step 3: Cross multiply
    5,952,219,608x = 9,800,952,132 × 9,800,952,132
  4. Step 4: Simplify right side
    5,952,219,608x = 96,058,662,693,755,338,752
  5. Step 5: Solve for x
    x = 96,058,662,693,755,338,752/5,952,219,608
  6. Step 6: Final answer
    x = 16,138,292,774.79

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.