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Finding the Third Proportional to 33,982,813,980 and 53,309,007,576

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Solution

The third proportional to 33,982,813,980 and 53,309,007,576 is: 83,626,102,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982,813,980 : 53,309,007,576 = 53,309,007,576 : x
  2. Step 2: Convert to fraction form
    33,982,813,980/53,309,007,576 = 53,309,007,576/x
  3. Step 3: Cross multiply
    33,982,813,980x = 53,309,007,576 × 53,309,007,576
  4. Step 4: Simplify right side
    33,982,813,980x = 2,841,850,288,738,025,340,928
  5. Step 5: Solve for x
    x = 2,841,850,288,738,025,340,928/33,982,813,980
  6. Step 6: Final answer
    x = 83,626,102,606.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.