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Finding the Third Proportional to 3,743,776.41 and 5,349,943.13

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Solution

The third proportional to 3,743,776.41 and 5,349,943.13 is: 7,645,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,776.41 : 5,349,943.13 = 5,349,943.13 : x
  2. Step 2: Convert to fraction form
    3,743,776.41/5,349,943.13 = 5,349,943.13/x
  3. Step 3: Cross multiply
    3,743,776.41x = 5,349,943.13 × 5,349,943.13
  4. Step 4: Simplify right side
    3,743,776.41x = 28,621,891,440,734.77
  5. Step 5: Solve for x
    x = 28,621,891,440,734.77/3,743,776.41
  6. Step 6: Final answer
    x = 7,645,192.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.