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Finding the Third Proportional to 39,819,014,618 and 85,317,667,900

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Solution

The third proportional to 39,819,014,618 and 85,317,667,900 is: 182,804,736,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,819,014,618 : 85,317,667,900 = 85,317,667,900 : x
  2. Step 2: Convert to fraction form
    39,819,014,618/85,317,667,900 = 85,317,667,900/x
  3. Step 3: Cross multiply
    39,819,014,618x = 85,317,667,900 × 85,317,667,900
  4. Step 4: Simplify right side
    39,819,014,618x = 7,279,104,455,894,690,168,832
  5. Step 5: Solve for x
    x = 7,279,104,455,894,690,168,832/39,819,014,618
  6. Step 6: Final answer
    x = 182,804,736,021.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.