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Finding the Third Proportional to 38,767,683 and 82,667,091

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Solution

The third proportional to 38,767,683 and 82,667,091 is: 176,276,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,767,683 : 82,667,091 = 82,667,091 : x
  2. Step 2: Convert to fraction form
    38,767,683/82,667,091 = 82,667,091/x
  3. Step 3: Cross multiply
    38,767,683x = 82,667,091 × 82,667,091
  4. Step 4: Simplify right side
    38,767,683x = 6,833,847,934,402,281
  5. Step 5: Solve for x
    x = 6,833,847,934,402,281/38,767,683
  6. Step 6: Final answer
    x = 176,276,924.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.