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Finding the Third Proportional to 7,836,472.50 and 16,621,134.50

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Solution

The third proportional to 7,836,472.50 and 16,621,134.50 is: 35,253,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836,472.50 : 16,621,134.50 = 16,621,134.50 : x
  2. Step 2: Convert to fraction form
    7,836,472.50/16,621,134.50 = 16,621,134.50/x
  3. Step 3: Cross multiply
    7,836,472.50x = 16,621,134.50 × 16,621,134.50
  4. Step 4: Simplify right side
    7,836,472.50x = 276,262,112,067,090.25
  5. Step 5: Solve for x
    x = 276,262,112,067,090.25/7,836,472.50
  6. Step 6: Final answer
    x = 35,253,376.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.