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Finding the Third Proportional to 8,574,295.50 and 13,333,835.25

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Solution

The third proportional to 8,574,295.50 and 13,333,835.25 is: 20,735,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574,295.50 : 13,333,835.25 = 13,333,835.25 : x
  2. Step 2: Convert to fraction form
    8,574,295.50/13,333,835.25 = 13,333,835.25/x
  3. Step 3: Cross multiply
    8,574,295.50x = 13,333,835.25 × 13,333,835.25
  4. Step 4: Simplify right side
    8,574,295.50x = 177,791,162,474,142.56
  5. Step 5: Solve for x
    x = 177,791,162,474,142.56/8,574,295.50
  6. Step 6: Final answer
    x = 20,735,366.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.