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Finding the Third Proportional to 9,992,736 and 15,097,977

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Solution

The third proportional to 9,992,736 and 15,097,977 is: 22,811,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992,736 : 15,097,977 = 15,097,977 : x
  2. Step 2: Convert to fraction form
    9,992,736/15,097,977 = 15,097,977/x
  3. Step 3: Cross multiply
    9,992,736x = 15,097,977 × 15,097,977
  4. Step 4: Simplify right side
    9,992,736x = 227,948,909,492,529
  5. Step 5: Solve for x
    x = 227,948,909,492,529/9,992,736
  6. Step 6: Final answer
    x = 22,811,461.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.