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Finding the Third Proportional to 35,942,757.75 and 78,727,164.75

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Solution

The third proportional to 35,942,757.75 and 78,727,164.75 is: 172,439,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,942,757.75 : 78,727,164.75 = 78,727,164.75 : x
  2. Step 2: Convert to fraction form
    35,942,757.75/78,727,164.75 = 78,727,164.75/x
  3. Step 3: Cross multiply
    35,942,757.75x = 78,727,164.75 × 78,727,164.75
  4. Step 4: Simplify right side
    35,942,757.75x = 6,197,966,469,573,643
  5. Step 5: Solve for x
    x = 6,197,966,469,573,643/35,942,757.75
  6. Step 6: Final answer
    x = 172,439,925.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.