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Finding the Third Proportional to 4,478,907.66 and 9,544,478.06

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Solution

The third proportional to 4,478,907.66 and 9,544,478.06 is: 20,339,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478,907.66 : 9,544,478.06 = 9,544,478.06 : x
  2. Step 2: Convert to fraction form
    4,478,907.66/9,544,478.06 = 9,544,478.06/x
  3. Step 3: Cross multiply
    4,478,907.66x = 9,544,478.06 × 9,544,478.06
  4. Step 4: Simplify right side
    4,478,907.66x = 91,097,061,485,543.75
  5. Step 5: Solve for x
    x = 91,097,061,485,543.75/4,478,907.66
  6. Step 6: Final answer
    x = 20,339,124.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.