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Finding the Third Proportional to 14,639,422.25 and 31,798,969.63

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Solution

The third proportional to 14,639,422.25 and 31,798,969.63 is: 69,072,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,639,422.25 : 31,798,969.63 = 31,798,969.63 : x
  2. Step 2: Convert to fraction form
    14,639,422.25/31,798,969.63 = 31,798,969.63/x
  3. Step 3: Cross multiply
    14,639,422.25x = 31,798,969.63 × 31,798,969.63
  4. Step 4: Simplify right side
    14,639,422.25x = 1,011,174,469,211,672.62
  5. Step 5: Solve for x
    x = 1,011,174,469,211,672.62/14,639,422.25
  6. Step 6: Final answer
    x = 69,072,020.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.