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Finding the Third Proportional to 4,431,564.75 and 9,639,582.75

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Solution

The third proportional to 4,431,564.75 and 9,639,582.75 is: 20,968,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431,564.75 : 9,639,582.75 = 9,639,582.75 : x
  2. Step 2: Convert to fraction form
    4,431,564.75/9,639,582.75 = 9,639,582.75/x
  3. Step 3: Cross multiply
    4,431,564.75x = 9,639,582.75 × 9,639,582.75
  4. Step 4: Simplify right side
    4,431,564.75x = 92,921,555,594,097.56
  5. Step 5: Solve for x
    x = 92,921,555,594,097.56/4,431,564.75
  6. Step 6: Final answer
    x = 20,968,114.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.