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Finding the Third Proportional to 30,332,729,991 and 65,945,033,769

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Solution

The third proportional to 30,332,729,991 and 65,945,033,769 is: 143,368,153,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,332,729,991 : 65,945,033,769 = 65,945,033,769 : x
  2. Step 2: Convert to fraction form
    30,332,729,991/65,945,033,769 = 65,945,033,769/x
  3. Step 3: Cross multiply
    30,332,729,991x = 65,945,033,769 × 65,945,033,769
  4. Step 4: Simplify right side
    30,332,729,991x = 4,348,747,478,794,550,378,496
  5. Step 5: Solve for x
    x = 4,348,747,478,794,550,378,496/30,332,729,991
  6. Step 6: Final answer
    x = 143,368,153,149.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.