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Finding the Third Proportional to 3,738,438 and 5,346,036

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Solution

The third proportional to 3,738,438 and 5,346,036 is: 7,644,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738,438 : 5,346,036 = 5,346,036 : x
  2. Step 2: Convert to fraction form
    3,738,438/5,346,036 = 5,346,036/x
  3. Step 3: Cross multiply
    3,738,438x = 5,346,036 × 5,346,036
  4. Step 4: Simplify right side
    3,738,438x = 28,580,100,913,296
  5. Step 5: Solve for x
    x = 28,580,100,913,296/3,738,438
  6. Step 6: Final answer
    x = 7,644,931.10

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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.