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Finding the Third Proportional to 38,767,681 and 82,667,087

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Solution

The third proportional to 38,767,681 and 82,667,087 is: 176,276,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,767,681 : 82,667,087 = 82,667,087 : x
  2. Step 2: Convert to fraction form
    38,767,681/82,667,087 = 82,667,087/x
  3. Step 3: Cross multiply
    38,767,681x = 82,667,087 × 82,667,087
  4. Step 4: Simplify right side
    38,767,681x = 6,833,847,273,065,569
  5. Step 5: Solve for x
    x = 6,833,847,273,065,569/38,767,681
  6. Step 6: Final answer
    x = 176,276,916.67

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Why These Related Problems?

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