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Finding the Third Proportional to 7,487,434 and 11,371,108

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Solution

The third proportional to 7,487,434 and 11,371,108 is: 17,269,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487,434 : 11,371,108 = 11,371,108 : x
  2. Step 2: Convert to fraction form
    7,487,434/11,371,108 = 11,371,108/x
  3. Step 3: Cross multiply
    7,487,434x = 11,371,108 × 11,371,108
  4. Step 4: Simplify right side
    7,487,434x = 129,302,097,147,664
  5. Step 5: Solve for x
    x = 129,302,097,147,664/7,487,434
  6. Step 6: Final answer
    x = 17,269,213.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.