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Finding the Third Proportional to 197,377,737 and 427,704,816

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Solution

The third proportional to 197,377,737 and 427,704,816 is: 926,808,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,377,737 : 427,704,816 = 427,704,816 : x
  2. Step 2: Convert to fraction form
    197,377,737/427,704,816 = 427,704,816/x
  3. Step 3: Cross multiply
    197,377,737x = 427,704,816 × 427,704,816
  4. Step 4: Simplify right side
    197,377,737x = 182,931,409,629,593,856
  5. Step 5: Solve for x
    x = 182,931,409,629,593,856/197,377,737
  6. Step 6: Final answer
    x = 926,808,729.34

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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.