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Finding the Third Proportional to 11,280,528 and 23,158,296

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Solution

The third proportional to 11,280,528 and 23,158,296 is: 47,542,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280,528 : 23,158,296 = 23,158,296 : x
  2. Step 2: Convert to fraction form
    11,280,528/23,158,296 = 23,158,296/x
  3. Step 3: Cross multiply
    11,280,528x = 23,158,296 × 23,158,296
  4. Step 4: Simplify right side
    11,280,528x = 536,306,673,623,616
  5. Step 5: Solve for x
    x = 536,306,673,623,616/11,280,528
  6. Step 6: Final answer
    x = 47,542,692.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.