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Finding the Third Proportional to 38,280,768 and 84,001,644

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Solution

The third proportional to 38,280,768 and 84,001,644 is: 184,329,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,280,768 : 84,001,644 = 84,001,644 : x
  2. Step 2: Convert to fraction form
    38,280,768/84,001,644 = 84,001,644/x
  3. Step 3: Cross multiply
    38,280,768x = 84,001,644 × 84,001,644
  4. Step 4: Simplify right side
    38,280,768x = 7,056,276,194,702,736
  5. Step 5: Solve for x
    x = 7,056,276,194,702,736/38,280,768
  6. Step 6: Final answer
    x = 184,329,535.78

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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.