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Finding the Third Proportional to 37,735,880.25 and 80,853,420.75

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Solution

The third proportional to 37,735,880.25 and 80,853,420.75 is: 173,237,661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,735,880.25 : 80,853,420.75 = 80,853,420.75 : x
  2. Step 2: Convert to fraction form
    37,735,880.25/80,853,420.75 = 80,853,420.75/x
  3. Step 3: Cross multiply
    37,735,880.25x = 80,853,420.75 × 80,853,420.75
  4. Step 4: Simplify right side
    37,735,880.25x = 6,537,275,646,976,531
  5. Step 5: Solve for x
    x = 6,537,275,646,976,531/37,735,880.25
  6. Step 6: Final answer
    x = 173,237,661.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.