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Finding the Third Proportional to 7,491,426 and 16,441,023

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Solution

The third proportional to 7,491,426 and 16,441,023 is: 36,082,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491,426 : 16,441,023 = 16,441,023 : x
  2. Step 2: Convert to fraction form
    7,491,426/16,441,023 = 16,441,023/x
  3. Step 3: Cross multiply
    7,491,426x = 16,441,023 × 16,441,023
  4. Step 4: Simplify right side
    7,491,426x = 270,307,237,286,529
  5. Step 5: Solve for x
    x = 270,307,237,286,529/7,491,426
  6. Step 6: Final answer
    x = 36,082,214.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.