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Finding the Third Proportional to 31,670,562.09 and 69,394,569.33

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Solution

The third proportional to 31,670,562.09 and 69,394,569.33 is: 152,053,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670,562.09 : 69,394,569.33 = 69,394,569.33 : x
  2. Step 2: Convert to fraction form
    31,670,562.09/69,394,569.33 = 69,394,569.33/x
  3. Step 3: Cross multiply
    31,670,562.09x = 69,394,569.33 × 69,394,569.33
  4. Step 4: Simplify right side
    31,670,562.09x = 4,815,606,252,235,947
  5. Step 5: Solve for x
    x = 4,815,606,252,235,947/31,670,562.09
  6. Step 6: Final answer
    x = 152,053,071.81

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