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Finding the Third Proportional to 31,191,786 and 69,555,546

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Solution

The third proportional to 31,191,786 and 69,555,546 is: 155,104,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,191,786 : 69,555,546 = 69,555,546 : x
  2. Step 2: Convert to fraction form
    31,191,786/69,555,546 = 69,555,546/x
  3. Step 3: Cross multiply
    31,191,786x = 69,555,546 × 69,555,546
  4. Step 4: Simplify right side
    31,191,786x = 4,837,973,979,358,116
  5. Step 5: Solve for x
    x = 4,837,973,979,358,116/31,191,786
  6. Step 6: Final answer
    x = 155,104,102.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.