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Finding the Third Proportional to 54,696,687.75 and 83,434,186.69

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Solution

The third proportional to 54,696,687.75 and 83,434,186.69 is: 127,270,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696,687.75 : 83,434,186.69 = 83,434,186.69 : x
  2. Step 2: Convert to fraction form
    54,696,687.75/83,434,186.69 = 83,434,186.69/x
  3. Step 3: Cross multiply
    54,696,687.75x = 83,434,186.69 × 83,434,186.69
  4. Step 4: Simplify right side
    54,696,687.75x = 6,961,263,508,204,602
  5. Step 5: Solve for x
    x = 6,961,263,508,204,602/54,696,687.75
  6. Step 6: Final answer
    x = 127,270,293.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.