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Finding the Third Proportional to 9,253,927 and 13,826,457

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Solution

The third proportional to 9,253,927 and 13,826,457 is: 20,658,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253,927 : 13,826,457 = 13,826,457 : x
  2. Step 2: Convert to fraction form
    9,253,927/13,826,457 = 13,826,457/x
  3. Step 3: Cross multiply
    9,253,927x = 13,826,457 × 13,826,457
  4. Step 4: Simplify right side
    9,253,927x = 191,170,913,172,849
  5. Step 5: Solve for x
    x = 191,170,913,172,849/9,253,927
  6. Step 6: Final answer
    x = 20,658,355.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.