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Finding the Third Proportional to 197,377,731 and 427,704,804

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Solution

The third proportional to 197,377,731 and 427,704,804 is: 926,808,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,377,731 : 427,704,804 = 427,704,804 : x
  2. Step 2: Convert to fraction form
    197,377,731/427,704,804 = 427,704,804/x
  3. Step 3: Cross multiply
    197,377,731x = 427,704,804 × 427,704,804
  4. Step 4: Simplify right side
    197,377,731x = 182,931,399,364,678,400
  5. Step 5: Solve for x
    x = 182,931,399,364,678,400/197,377,731
  6. Step 6: Final answer
    x = 926,808,705.51

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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.