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Finding the Third Proportional to 10,939,668,772 and 22,265,952,328

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Solution

The third proportional to 10,939,668,772 and 22,265,952,328 is: 45,318,797,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939,668,772 : 22,265,952,328 = 22,265,952,328 : x
  2. Step 2: Convert to fraction form
    10,939,668,772/22,265,952,328 = 22,265,952,328/x
  3. Step 3: Cross multiply
    10,939,668,772x = 22,265,952,328 × 22,265,952,328
  4. Step 4: Simplify right side
    10,939,668,772x = 495,772,633,072,768,647,168
  5. Step 5: Solve for x
    x = 495,772,633,072,768,647,168/10,939,668,772
  6. Step 6: Final answer
    x = 45,318,797,433.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.