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Finding the Third Proportional to 7,667,877 and 16,413,124

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Solution

The third proportional to 7,667,877 and 16,413,124 is: 35,132,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667,877 : 16,413,124 = 16,413,124 : x
  2. Step 2: Convert to fraction form
    7,667,877/16,413,124 = 16,413,124/x
  3. Step 3: Cross multiply
    7,667,877x = 16,413,124 × 16,413,124
  4. Step 4: Simplify right side
    7,667,877x = 269,390,639,439,376
  5. Step 5: Solve for x
    x = 269,390,639,439,376/7,667,877
  6. Step 6: Final answer
    x = 35,132,363.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.