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Finding the Third Proportional to 16,462,401.75 and 35,453,295

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Solution

The third proportional to 16,462,401.75 and 35,453,295 is: 76,351,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462,401.75 : 35,453,295 = 35,453,295 : x
  2. Step 2: Convert to fraction form
    16,462,401.75/35,453,295 = 35,453,295/x
  3. Step 3: Cross multiply
    16,462,401.75x = 35,453,295 × 35,453,295
  4. Step 4: Simplify right side
    16,462,401.75x = 1,256,936,126,357,025
  5. Step 5: Solve for x
    x = 1,256,936,126,357,025/16,462,401.75
  6. Step 6: Final answer
    x = 76,351,928.80

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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.