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Finding the Third Proportional to 9,764,124.75 and 20,873,402.44

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Solution

The third proportional to 9,764,124.75 and 20,873,402.44 is: 44,622,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,124.75 : 20,873,402.44 = 20,873,402.44 : x
  2. Step 2: Convert to fraction form
    9,764,124.75/20,873,402.44 = 20,873,402.44/x
  3. Step 3: Cross multiply
    9,764,124.75x = 20,873,402.44 × 20,873,402.44
  4. Step 4: Simplify right side
    9,764,124.75x = 435,698,929,317,830.94
  5. Step 5: Solve for x
    x = 435,698,929,317,830.94/9,764,124.75
  6. Step 6: Final answer
    x = 44,622,425.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.