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Finding the Third Proportional to 8,302,128 and 18,021,356

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Solution

The third proportional to 8,302,128 and 18,021,356 is: 39,118,798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302,128 : 18,021,356 = 18,021,356 : x
  2. Step 2: Convert to fraction form
    8,302,128/18,021,356 = 18,021,356/x
  3. Step 3: Cross multiply
    8,302,128x = 18,021,356 × 18,021,356
  4. Step 4: Simplify right side
    8,302,128x = 324,769,272,078,736
  5. Step 5: Solve for x
    x = 324,769,272,078,736/8,302,128
  6. Step 6: Final answer
    x = 39,118,798.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.