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Finding the Third Proportional to 9,119,462 and 14,231,289

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Solution

The third proportional to 9,119,462 and 14,231,289 is: 22,208,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119,462 : 14,231,289 = 14,231,289 : x
  2. Step 2: Convert to fraction form
    9,119,462/14,231,289 = 14,231,289/x
  3. Step 3: Cross multiply
    9,119,462x = 14,231,289 × 14,231,289
  4. Step 4: Simplify right side
    9,119,462x = 202,529,586,601,521
  5. Step 5: Solve for x
    x = 202,529,586,601,521/9,119,462
  6. Step 6: Final answer
    x = 22,208,501.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.