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Finding the Third Proportional to 5,403,393 and 8,216,491

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Solution

The third proportional to 5,403,393 and 8,216,491 is: 12,494,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403,393 : 8,216,491 = 8,216,491 : x
  2. Step 2: Convert to fraction form
    5,403,393/8,216,491 = 8,216,491/x
  3. Step 3: Cross multiply
    5,403,393x = 8,216,491 × 8,216,491
  4. Step 4: Simplify right side
    5,403,393x = 67,510,724,353,081
  5. Step 5: Solve for x
    x = 67,510,724,353,081/5,403,393
  6. Step 6: Final answer
    x = 12,494,135.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.