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Finding the Third Proportional to 7,640,961 and 11,431,184

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Solution

The third proportional to 7,640,961 and 11,431,184 is: 17,101,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640,961 : 11,431,184 = 11,431,184 : x
  2. Step 2: Convert to fraction form
    7,640,961/11,431,184 = 11,431,184/x
  3. Step 3: Cross multiply
    7,640,961x = 11,431,184 × 11,431,184
  4. Step 4: Simplify right side
    7,640,961x = 130,671,967,641,856
  5. Step 5: Solve for x
    x = 130,671,967,641,856/7,640,961
  6. Step 6: Final answer
    x = 17,101,509.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.