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Finding the Third Proportional to 36,009,165 and 78,848,574

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Solution

The third proportional to 36,009,165 and 78,848,574 is: 172,653,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009,165 : 78,848,574 = 78,848,574 : x
  2. Step 2: Convert to fraction form
    36,009,165/78,848,574 = 78,848,574/x
  3. Step 3: Cross multiply
    36,009,165x = 78,848,574 × 78,848,574
  4. Step 4: Simplify right side
    36,009,165x = 6,217,097,621,833,476
  5. Step 5: Solve for x
    x = 6,217,097,621,833,476/36,009,165
  6. Step 6: Final answer
    x = 172,653,201.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.