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Finding the Third Proportional to 10,927,741 and 16,037,318

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Solution

The third proportional to 10,927,741 and 16,037,318 is: 23,536,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927,741 : 16,037,318 = 16,037,318 : x
  2. Step 2: Convert to fraction form
    10,927,741/16,037,318 = 16,037,318/x
  3. Step 3: Cross multiply
    10,927,741x = 16,037,318 × 16,037,318
  4. Step 4: Simplify right side
    10,927,741x = 257,195,568,633,124
  5. Step 5: Solve for x
    x = 257,195,568,633,124/10,927,741
  6. Step 6: Final answer
    x = 23,536,023.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.