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Finding the Third Proportional to 38,998,036 and 84,504,584

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Solution

The third proportional to 38,998,036 and 84,504,584 is: 183,112,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,998,036 : 84,504,584 = 84,504,584 : x
  2. Step 2: Convert to fraction form
    38,998,036/84,504,584 = 84,504,584/x
  3. Step 3: Cross multiply
    38,998,036x = 84,504,584 × 84,504,584
  4. Step 4: Simplify right side
    38,998,036x = 7,141,024,717,013,056
  5. Step 5: Solve for x
    x = 7,141,024,717,013,056/38,998,036
  6. Step 6: Final answer
    x = 183,112,419.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.