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Finding the Third Proportional to 7,234,761 and 11,197,263

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Solution

The third proportional to 7,234,761 and 11,197,263 is: 17,330,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234,761 : 11,197,263 = 11,197,263 : x
  2. Step 2: Convert to fraction form
    7,234,761/11,197,263 = 11,197,263/x
  3. Step 3: Cross multiply
    7,234,761x = 11,197,263 × 11,197,263
  4. Step 4: Simplify right side
    7,234,761x = 125,378,698,691,169
  5. Step 5: Solve for x
    x = 125,378,698,691,169/7,234,761
  6. Step 6: Final answer
    x = 17,330,040.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.