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Finding the Third Proportional to 2,151,936.50 and 4,660,129

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Solution

The third proportional to 2,151,936.50 and 4,660,129 is: 10,091,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151,936.50 : 4,660,129 = 4,660,129 : x
  2. Step 2: Convert to fraction form
    2,151,936.50/4,660,129 = 4,660,129/x
  3. Step 3: Cross multiply
    2,151,936.50x = 4,660,129 × 4,660,129
  4. Step 4: Simplify right side
    2,151,936.50x = 21,716,802,296,641
  5. Step 5: Solve for x
    x = 21,716,802,296,641/2,151,936.50
  6. Step 6: Final answer
    x = 10,091,748.66

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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.