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Finding the Third Proportional to 8,153,033.63 and 17,770,972.50

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Solution

The third proportional to 8,153,033.63 and 17,770,972.50 is: 38,734,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153,033.63 : 17,770,972.50 = 17,770,972.50 : x
  2. Step 2: Convert to fraction form
    8,153,033.63/17,770,972.50 = 17,770,972.50/x
  3. Step 3: Cross multiply
    8,153,033.63x = 17,770,972.50 × 17,770,972.50
  4. Step 4: Simplify right side
    8,153,033.63x = 315,807,463,595,756.25
  5. Step 5: Solve for x
    x = 315,807,463,595,756.25/8,153,033.63
  6. Step 6: Final answer
    x = 38,734,963.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.