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Finding the Third Proportional to 34,252,201.69 and 53,118,205.31

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Solution

The third proportional to 34,252,201.69 and 53,118,205.31 is: 82,375,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,252,201.69 : 53,118,205.31 = 53,118,205.31 : x
  2. Step 2: Convert to fraction form
    34,252,201.69/53,118,205.31 = 53,118,205.31/x
  3. Step 3: Cross multiply
    34,252,201.69x = 53,118,205.31 × 53,118,205.31
  4. Step 4: Simplify right side
    34,252,201.69x = 2,821,543,735,620,903
  5. Step 5: Solve for x
    x = 2,821,543,735,620,903/34,252,201.69
  6. Step 6: Final answer
    x = 82,375,543.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.