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Finding the Third Proportional to 11,583,474 and 15,232,491

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Solution

The third proportional to 11,583,474 and 15,232,491 is: 20,031,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583,474 : 15,232,491 = 15,232,491 : x
  2. Step 2: Convert to fraction form
    11,583,474/15,232,491 = 15,232,491/x
  3. Step 3: Cross multiply
    11,583,474x = 15,232,491 × 15,232,491
  4. Step 4: Simplify right side
    11,583,474x = 232,028,782,065,081
  5. Step 5: Solve for x
    x = 232,028,782,065,081/11,583,474
  6. Step 6: Final answer
    x = 20,031,018.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.