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Finding the Third Proportional to 11,031,491 and 24,049,271

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Solution

The third proportional to 11,031,491 and 24,049,271 is: 52,428,763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031,491 : 24,049,271 = 24,049,271 : x
  2. Step 2: Convert to fraction form
    11,031,491/24,049,271 = 24,049,271/x
  3. Step 3: Cross multiply
    11,031,491x = 24,049,271 × 24,049,271
  4. Step 4: Simplify right side
    11,031,491x = 578,367,435,631,441
  5. Step 5: Solve for x
    x = 578,367,435,631,441/11,031,491
  6. Step 6: Final answer
    x = 52,428,763.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.