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Finding the Third Proportional to 7,858,034 and 11,816,307

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Solution

The third proportional to 7,858,034 and 11,816,307 is: 17,768,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858,034 : 11,816,307 = 11,816,307 : x
  2. Step 2: Convert to fraction form
    7,858,034/11,816,307 = 11,816,307/x
  3. Step 3: Cross multiply
    7,858,034x = 11,816,307 × 11,816,307
  4. Step 4: Simplify right side
    7,858,034x = 139,625,111,118,249
  5. Step 5: Solve for x
    x = 139,625,111,118,249/7,858,034
  6. Step 6: Final answer
    x = 17,768,453.42

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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.