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Finding the Third Proportional to 3,234,143.63 and 7,124,513.63

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Solution

The third proportional to 3,234,143.63 and 7,124,513.63 is: 15,694,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,143.63 : 7,124,513.63 = 7,124,513.63 : x
  2. Step 2: Convert to fraction form
    3,234,143.63/7,124,513.63 = 7,124,513.63/x
  3. Step 3: Cross multiply
    3,234,143.63x = 7,124,513.63 × 7,124,513.63
  4. Step 4: Simplify right side
    3,234,143.63x = 50,758,694,392,810.64
  5. Step 5: Solve for x
    x = 50,758,694,392,810.64/3,234,143.63
  6. Step 6: Final answer
    x = 15,694,632.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.