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Finding the Third Proportional to 73,340,381 and 155,424,614

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Solution

The third proportional to 73,340,381 and 155,424,614 is: 329,379,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,340,381 : 155,424,614 = 155,424,614 : x
  2. Step 2: Convert to fraction form
    73,340,381/155,424,614 = 155,424,614/x
  3. Step 3: Cross multiply
    73,340,381x = 155,424,614 × 155,424,614
  4. Step 4: Simplify right side
    73,340,381x = 24,156,810,637,048,996
  5. Step 5: Solve for x
    x = 24,156,810,637,048,996/73,340,381
  6. Step 6: Final answer
    x = 329,379,399.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.