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Finding the Third Proportional to 3,414,285.42 and 7,144,250.63

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Solution

The third proportional to 3,414,285.42 and 7,144,250.63 is: 14,949,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,285.42 : 7,144,250.63 = 7,144,250.63 : x
  2. Step 2: Convert to fraction form
    3,414,285.42/7,144,250.63 = 7,144,250.63/x
  3. Step 3: Cross multiply
    3,414,285.42x = 7,144,250.63 × 7,144,250.63
  4. Step 4: Simplify right side
    3,414,285.42x = 51,040,316,992,812.89
  5. Step 5: Solve for x
    x = 51,040,316,992,812.89/3,414,285.42
  6. Step 6: Final answer
    x = 14,949,048.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.