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Finding the Third Proportional to 7,668,066 and 16,413,297

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Solution

The third proportional to 7,668,066 and 16,413,297 is: 35,132,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668,066 : 16,413,297 = 16,413,297 : x
  2. Step 2: Convert to fraction form
    7,668,066/16,413,297 = 16,413,297/x
  3. Step 3: Cross multiply
    7,668,066x = 16,413,297 × 16,413,297
  4. Step 4: Simplify right side
    7,668,066x = 269,396,318,410,209
  5. Step 5: Solve for x
    x = 269,396,318,410,209/7,668,066
  6. Step 6: Final answer
    x = 35,132,237.83

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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.