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Finding the Third Proportional to 54,299,814.75 and 75,954,844.13

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Solution

The third proportional to 54,299,814.75 and 75,954,844.13 is: 106,246,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,299,814.75 : 75,954,844.13 = 75,954,844.13 : x
  2. Step 2: Convert to fraction form
    54,299,814.75/75,954,844.13 = 75,954,844.13/x
  3. Step 3: Cross multiply
    54,299,814.75x = 75,954,844.13 × 75,954,844.13
  4. Step 4: Simplify right side
    54,299,814.75x = 5,769,138,346,053,047
  5. Step 5: Solve for x
    x = 5,769,138,346,053,047/54,299,814.75
  6. Step 6: Final answer
    x = 106,246,004.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.