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Finding the Third Proportional to 36,091,815 and 77,936,431.50

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Solution

The third proportional to 36,091,815 and 77,936,431.50 is: 168,295,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,091,815 : 77,936,431.50 = 77,936,431.50 : x
  2. Step 2: Convert to fraction form
    36,091,815/77,936,431.50 = 77,936,431.50/x
  3. Step 3: Cross multiply
    36,091,815x = 77,936,431.50 × 77,936,431.50
  4. Step 4: Simplify right side
    36,091,815x = 6,074,087,354,954,192
  5. Step 5: Solve for x
    x = 6,074,087,354,954,192/36,091,815
  6. Step 6: Final answer
    x = 168,295,425.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.