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Finding the Third Proportional to 3,303,143.50 and 5,053,438.50

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Solution

The third proportional to 3,303,143.50 and 5,053,438.50 is: 7,731,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303,143.50 : 5,053,438.50 = 5,053,438.50 : x
  2. Step 2: Convert to fraction form
    3,303,143.50/5,053,438.50 = 5,053,438.50/x
  3. Step 3: Cross multiply
    3,303,143.50x = 5,053,438.50 × 5,053,438.50
  4. Step 4: Simplify right side
    3,303,143.50x = 25,537,240,673,282.25
  5. Step 5: Solve for x
    x = 25,537,240,673,282.25/3,303,143.50
  6. Step 6: Final answer
    x = 7,731,193.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.