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Finding the Third Proportional to 7,244,439.75 and 9,803,777.63

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Solution

The third proportional to 7,244,439.75 and 9,803,777.63 is: 13,267,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244,439.75 : 9,803,777.63 = 9,803,777.63 : x
  2. Step 2: Convert to fraction form
    7,244,439.75/9,803,777.63 = 9,803,777.63/x
  3. Step 3: Cross multiply
    7,244,439.75x = 9,803,777.63 × 9,803,777.63
  4. Step 4: Simplify right side
    7,244,439.75x = 96,114,055,720,450.64
  5. Step 5: Solve for x
    x = 96,114,055,720,450.64/7,244,439.75
  6. Step 6: Final answer
    x = 13,267,286.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.