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Finding the Third Proportional to 36,848,299 and 78,872,908

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Solution

The third proportional to 36,848,299 and 78,872,908 is: 168,825,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,848,299 : 78,872,908 = 78,872,908 : x
  2. Step 2: Convert to fraction form
    36,848,299/78,872,908 = 78,872,908/x
  3. Step 3: Cross multiply
    36,848,299x = 78,872,908 × 78,872,908
  4. Step 4: Simplify right side
    36,848,299x = 6,220,935,616,376,464
  5. Step 5: Solve for x
    x = 6,220,935,616,376,464/36,848,299
  6. Step 6: Final answer
    x = 168,825,584.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.