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Finding the Third Proportional to 2,662,314.75 and 5,743,440

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Solution

The third proportional to 2,662,314.75 and 5,743,440 is: 12,390,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662,314.75 : 5,743,440 = 5,743,440 : x
  2. Step 2: Convert to fraction form
    2,662,314.75/5,743,440 = 5,743,440/x
  3. Step 3: Cross multiply
    2,662,314.75x = 5,743,440 × 5,743,440
  4. Step 4: Simplify right side
    2,662,314.75x = 32,987,103,033,600
  5. Step 5: Solve for x
    x = 32,987,103,033,600/2,662,314.75
  6. Step 6: Final answer
    x = 12,390,384.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.