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Finding the Third Proportional to 38,286,022 and 84,011,004

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Solution

The third proportional to 38,286,022 and 84,011,004 is: 184,345,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286,022 : 84,011,004 = 84,011,004 : x
  2. Step 2: Convert to fraction form
    38,286,022/84,011,004 = 84,011,004/x
  3. Step 3: Cross multiply
    38,286,022x = 84,011,004 × 84,011,004
  4. Step 4: Simplify right side
    38,286,022x = 7,057,848,793,088,016
  5. Step 5: Solve for x
    x = 7,057,848,793,088,016/38,286,022
  6. Step 6: Final answer
    x = 184,345,315.19

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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.