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Finding the Third Proportional to 11,344,271 and 17,151,477

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Solution

The third proportional to 11,344,271 and 17,151,477 is: 25,931,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344,271 : 17,151,477 = 17,151,477 : x
  2. Step 2: Convert to fraction form
    11,344,271/17,151,477 = 17,151,477/x
  3. Step 3: Cross multiply
    11,344,271x = 17,151,477 × 17,151,477
  4. Step 4: Simplify right side
    11,344,271x = 294,173,163,281,529
  5. Step 5: Solve for x
    x = 294,173,163,281,529/11,344,271
  6. Step 6: Final answer
    x = 25,931,429.47

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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.