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Finding the Third Proportional to 36,473,216 and 78,998,950

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Solution

The third proportional to 36,473,216 and 78,998,950 is: 171,107,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,473,216 : 78,998,950 = 78,998,950 : x
  2. Step 2: Convert to fraction form
    36,473,216/78,998,950 = 78,998,950/x
  3. Step 3: Cross multiply
    36,473,216x = 78,998,950 × 78,998,950
  4. Step 4: Simplify right side
    36,473,216x = 6,240,834,101,102,500
  5. Step 5: Solve for x
    x = 6,240,834,101,102,500/36,473,216
  6. Step 6: Final answer
    x = 171,107,316.15

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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.