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Finding the Third Proportional to 41,573,129,488 and 97,007,321,128

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Solution

The third proportional to 41,573,129,488 and 97,007,321,128 is: 226,358,238,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573,129,488 : 97,007,321,128 = 97,007,321,128 : x
  2. Step 2: Convert to fraction form
    41,573,129,488/97,007,321,128 = 97,007,321,128/x
  3. Step 3: Cross multiply
    41,573,129,488x = 97,007,321,128 × 97,007,321,128
  4. Step 4: Simplify right side
    41,573,129,488x = 9,410,420,352,430,914,928,640
  5. Step 5: Solve for x
    x = 9,410,420,352,430,914,928,640/41,573,129,488
  6. Step 6: Final answer
    x = 226,358,238,321.88

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.