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Finding the Third Proportional to 38,285,184 and 84,009,435

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Solution

The third proportional to 38,285,184 and 84,009,435 is: 184,342,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,285,184 : 84,009,435 = 84,009,435 : x
  2. Step 2: Convert to fraction form
    38,285,184/84,009,435 = 84,009,435/x
  3. Step 3: Cross multiply
    38,285,184x = 84,009,435 × 84,009,435
  4. Step 4: Simplify right side
    38,285,184x = 7,057,585,169,019,225
  5. Step 5: Solve for x
    x = 7,057,585,169,019,225/38,285,184
  6. Step 6: Final answer
    x = 184,342,464.41

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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.