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Finding the Third Proportional to 31,842,352.97 and 69,449,076

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Solution

The third proportional to 31,842,352.97 and 69,449,076 is: 151,470,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842,352.97 : 69,449,076 = 69,449,076 : x
  2. Step 2: Convert to fraction form
    31,842,352.97/69,449,076 = 69,449,076/x
  3. Step 3: Cross multiply
    31,842,352.97x = 69,449,076 × 69,449,076
  4. Step 4: Simplify right side
    31,842,352.97x = 4,823,174,157,253,776
  5. Step 5: Solve for x
    x = 4,823,174,157,253,776/31,842,352.97
  6. Step 6: Final answer
    x = 151,470,406.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.