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Finding the Third Proportional to 7,333,434 and 11,609,571

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Solution

The third proportional to 7,333,434 and 11,609,571 is: 18,379,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,333,434 : 11,609,571 = 11,609,571 : x
  2. Step 2: Convert to fraction form
    7,333,434/11,609,571 = 11,609,571/x
  3. Step 3: Cross multiply
    7,333,434x = 11,609,571 × 11,609,571
  4. Step 4: Simplify right side
    7,333,434x = 134,782,138,804,041
  5. Step 5: Solve for x
    x = 134,782,138,804,041/7,333,434
  6. Step 6: Final answer
    x = 18,379,130.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.