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Finding the Third Proportional to 4,217,644.69 and 8,734,361.63

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Solution

The third proportional to 4,217,644.69 and 8,734,361.63 is: 18,088,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217,644.69 : 8,734,361.63 = 8,734,361.63 : x
  2. Step 2: Convert to fraction form
    4,217,644.69/8,734,361.63 = 8,734,361.63/x
  3. Step 3: Cross multiply
    4,217,644.69x = 8,734,361.63 × 8,734,361.63
  4. Step 4: Simplify right side
    4,217,644.69x = 76,289,072,996,272.64
  5. Step 5: Solve for x
    x = 76,289,072,996,272.64/4,217,644.69
  6. Step 6: Final answer
    x = 18,088,074.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.