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Finding the Third Proportional to 36,009,153 and 78,848,550

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Solution

The third proportional to 36,009,153 and 78,848,550 is: 172,653,153.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009,153 : 78,848,550 = 78,848,550 : x
  2. Step 2: Convert to fraction form
    36,009,153/78,848,550 = 78,848,550/x
  3. Step 3: Cross multiply
    36,009,153x = 78,848,550 × 78,848,550
  4. Step 4: Simplify right side
    36,009,153x = 6,217,093,837,102,500
  5. Step 5: Solve for x
    x = 6,217,093,837,102,500/36,009,153
  6. Step 6: Final answer
    x = 172,653,153.97

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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.