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Finding the Third Proportional to 197,377,734 and 427,704,810

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Solution

The third proportional to 197,377,734 and 427,704,810 is: 926,808,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,377,734 : 427,704,810 = 427,704,810 : x
  2. Step 2: Convert to fraction form
    197,377,734/427,704,810 = 427,704,810/x
  3. Step 3: Cross multiply
    197,377,734x = 427,704,810 × 427,704,810
  4. Step 4: Simplify right side
    197,377,734x = 182,931,404,497,136,096
  5. Step 5: Solve for x
    x = 182,931,404,497,136,096/197,377,734
  6. Step 6: Final answer
    x = 926,808,717.43

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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.