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Finding the Third Proportional to 38,286,023 and 84,011,005

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Solution

The third proportional to 38,286,023 and 84,011,005 is: 184,345,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286,023 : 84,011,005 = 84,011,005 : x
  2. Step 2: Convert to fraction form
    38,286,023/84,011,005 = 84,011,005/x
  3. Step 3: Cross multiply
    38,286,023x = 84,011,005 × 84,011,005
  4. Step 4: Simplify right side
    38,286,023x = 7,057,848,961,110,025
  5. Step 5: Solve for x
    x = 7,057,848,961,110,025/38,286,023
  6. Step 6: Final answer
    x = 184,345,314.77

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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.