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Finding the Third Proportional to 7,577,006 and 11,591,013

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Solution

The third proportional to 7,577,006 and 11,591,013 is: 17,731,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577,006 : 11,591,013 = 11,591,013 : x
  2. Step 2: Convert to fraction form
    7,577,006/11,591,013 = 11,591,013/x
  3. Step 3: Cross multiply
    7,577,006x = 11,591,013 × 11,591,013
  4. Step 4: Simplify right side
    7,577,006x = 134,351,582,366,169
  5. Step 5: Solve for x
    x = 134,351,582,366,169/7,577,006
  6. Step 6: Final answer
    x = 17,731,486.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.