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Finding the Third Proportional to 34,083,073.69 and 51,111,329.06

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Solution

The third proportional to 34,083,073.69 and 51,111,329.06 is: 76,647,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,083,073.69 : 51,111,329.06 = 51,111,329.06 : x
  2. Step 2: Convert to fraction form
    34,083,073.69/51,111,329.06 = 51,111,329.06/x
  3. Step 3: Cross multiply
    34,083,073.69x = 51,111,329.06 × 51,111,329.06
  4. Step 4: Simplify right side
    34,083,073.69x = 2,612,367,958,535,157
  5. Step 5: Solve for x
    x = 2,612,367,958,535,157/34,083,073.69
  6. Step 6: Final answer
    x = 76,647,076.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.