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Finding the Third Proportional to 31,846,042.69 and 69,653,266.03

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Solution

The third proportional to 31,846,042.69 and 69,653,266.03 is: 152,344,751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846,042.69 : 69,653,266.03 = 69,653,266.03 : x
  2. Step 2: Convert to fraction form
    31,846,042.69/69,653,266.03 = 69,653,266.03/x
  3. Step 3: Cross multiply
    31,846,042.69x = 69,653,266.03 × 69,653,266.03
  4. Step 4: Simplify right side
    31,846,042.69x = 4,851,577,468,820,085
  5. Step 5: Solve for x
    x = 4,851,577,468,820,085/31,846,042.69
  6. Step 6: Final answer
    x = 152,344,751.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.