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Finding the Third Proportional to 10,667,082 and 16,945,407

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Solution

The third proportional to 10,667,082 and 16,945,407 is: 26,918,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667,082 : 16,945,407 = 16,945,407 : x
  2. Step 2: Convert to fraction form
    10,667,082/16,945,407 = 16,945,407/x
  3. Step 3: Cross multiply
    10,667,082x = 16,945,407 × 16,945,407
  4. Step 4: Simplify right side
    10,667,082x = 287,146,818,395,649
  5. Step 5: Solve for x
    x = 287,146,818,395,649/10,667,082
  6. Step 6: Final answer
    x = 26,918,966.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.