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Finding the Third Proportional to 197,377,767 and 427,704,876

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Solution

The third proportional to 197,377,767 and 427,704,876 is: 926,808,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,377,767 : 427,704,876 = 427,704,876 : x
  2. Step 2: Convert to fraction form
    197,377,767/427,704,876 = 427,704,876/x
  3. Step 3: Cross multiply
    197,377,767x = 427,704,876 × 427,704,876
  4. Step 4: Simplify right side
    197,377,767x = 182,931,460,954,175,360
  5. Step 5: Solve for x
    x = 182,931,460,954,175,360/197,377,767
  6. Step 6: Final answer
    x = 926,808,848.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.