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Finding the Third Proportional to 38,286,019 and 84,010,997

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Solution

The third proportional to 38,286,019 and 84,010,997 is: 184,345,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286,019 : 84,010,997 = 84,010,997 : x
  2. Step 2: Convert to fraction form
    38,286,019/84,010,997 = 84,010,997/x
  3. Step 3: Cross multiply
    38,286,019x = 84,010,997 × 84,010,997
  4. Step 4: Simplify right side
    38,286,019x = 7,057,847,616,934,009
  5. Step 5: Solve for x
    x = 7,057,847,616,934,009/38,286,019
  6. Step 6: Final answer
    x = 184,345,298.92

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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.