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Finding the Third Proportional to 4,477,644 and 6,729,588

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Solution

The third proportional to 4,477,644 and 6,729,588 is: 10,114,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477,644 : 6,729,588 = 6,729,588 : x
  2. Step 2: Convert to fraction form
    4,477,644/6,729,588 = 6,729,588/x
  3. Step 3: Cross multiply
    4,477,644x = 6,729,588 × 6,729,588
  4. Step 4: Simplify right side
    4,477,644x = 45,287,354,649,744
  5. Step 5: Solve for x
    x = 45,287,354,649,744/4,477,644
  6. Step 6: Final answer
    x = 10,114,103.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.