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Finding the Third Proportional to 33,655,178.53 and 72,337,978.97

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Solution

The third proportional to 33,655,178.53 and 72,337,978.97 is: 155,482,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,655,178.53 : 72,337,978.97 = 72,337,978.97 : x
  2. Step 2: Convert to fraction form
    33,655,178.53/72,337,978.97 = 72,337,978.97/x
  3. Step 3: Cross multiply
    33,655,178.53x = 72,337,978.97 × 72,337,978.97
  4. Step 4: Simplify right side
    33,655,178.53x = 5,232,783,201,283,317
  5. Step 5: Solve for x
    x = 5,232,783,201,283,317/33,655,178.53
  6. Step 6: Final answer
    x = 155,482,259.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.