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Finding the Third Proportional to 27,338,724.75 and 38,455,308

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Solution

The third proportional to 27,338,724.75 and 38,455,308 is: 54,092,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,338,724.75 : 38,455,308 = 38,455,308 : x
  2. Step 2: Convert to fraction form
    27,338,724.75/38,455,308 = 38,455,308/x
  3. Step 3: Cross multiply
    27,338,724.75x = 38,455,308 × 38,455,308
  4. Step 4: Simplify right side
    27,338,724.75x = 1,478,810,713,374,864
  5. Step 5: Solve for x
    x = 1,478,810,713,374,864/27,338,724.75
  6. Step 6: Final answer
    x = 54,092,161.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.