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Finding the Third Proportional to 43,122,034 and 64,616,631

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Solution

The third proportional to 43,122,034 and 64,616,631 is: 96,825,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,122,034 : 64,616,631 = 64,616,631 : x
  2. Step 2: Convert to fraction form
    43,122,034/64,616,631 = 64,616,631/x
  3. Step 3: Cross multiply
    43,122,034x = 64,616,631 × 64,616,631
  4. Step 4: Simplify right side
    43,122,034x = 4,175,309,001,790,161
  5. Step 5: Solve for x
    x = 4,175,309,001,790,161/43,122,034
  6. Step 6: Final answer
    x = 96,825,418.81

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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.