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Finding the Third Proportional to 16,305,849 and 35,541,516

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Solution

The third proportional to 16,305,849 and 35,541,516 is: 77,469,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305,849 : 35,541,516 = 35,541,516 : x
  2. Step 2: Convert to fraction form
    16,305,849/35,541,516 = 35,541,516/x
  3. Step 3: Cross multiply
    16,305,849x = 35,541,516 × 35,541,516
  4. Step 4: Simplify right side
    16,305,849x = 1,263,199,359,578,256
  5. Step 5: Solve for x
    x = 1,263,199,359,578,256/16,305,849
  6. Step 6: Final answer
    x = 77,469,094.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.