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Finding the Third Proportional to 3,413,136 and 7,332,784

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Solution

The third proportional to 3,413,136 and 7,332,784 is: 15,753,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,136 : 7,332,784 = 7,332,784 : x
  2. Step 2: Convert to fraction form
    3,413,136/7,332,784 = 7,332,784/x
  3. Step 3: Cross multiply
    3,413,136x = 7,332,784 × 7,332,784
  4. Step 4: Simplify right side
    3,413,136x = 53,769,721,190,656
  5. Step 5: Solve for x
    x = 53,769,721,190,656/3,413,136
  6. Step 6: Final answer
    x = 15,753,758.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.