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Finding the Third Proportional to 5,393,594 and 11,587,616

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Solution

The third proportional to 5,393,594 and 11,587,616 is: 24,894,874.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393,594 : 11,587,616 = 11,587,616 : x
  2. Step 2: Convert to fraction form
    5,393,594/11,587,616 = 11,587,616/x
  3. Step 3: Cross multiply
    5,393,594x = 11,587,616 × 11,587,616
  4. Step 4: Simplify right side
    5,393,594x = 134,272,844,563,456
  5. Step 5: Solve for x
    x = 134,272,844,563,456/5,393,594
  6. Step 6: Final answer
    x = 24,894,874.28

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Why These Related Problems?

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