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Finding the Third Proportional to 6,613,765 and 14,172,308

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Solution

The third proportional to 6,613,765 and 14,172,308 is: 30,369,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613,765 : 14,172,308 = 14,172,308 : x
  2. Step 2: Convert to fraction form
    6,613,765/14,172,308 = 14,172,308/x
  3. Step 3: Cross multiply
    6,613,765x = 14,172,308 × 14,172,308
  4. Step 4: Simplify right side
    6,613,765x = 200,854,314,046,864
  5. Step 5: Solve for x
    x = 200,854,314,046,864/6,613,765
  6. Step 6: Final answer
    x = 30,369,133.78

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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.