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Finding the Third Proportional to 10,851,909.75 and 23,277,384.56

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Solution

The third proportional to 10,851,909.75 and 23,277,384.56 is: 49,930,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851,909.75 : 23,277,384.56 = 23,277,384.56 : x
  2. Step 2: Convert to fraction form
    10,851,909.75/23,277,384.56 = 23,277,384.56/x
  3. Step 3: Cross multiply
    10,851,909.75x = 23,277,384.56 × 23,277,384.56
  4. Step 4: Simplify right side
    10,851,909.75x = 541,836,632,070,513.31
  5. Step 5: Solve for x
    x = 541,836,632,070,513.31/10,851,909.75
  6. Step 6: Final answer
    x = 49,930,071.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.