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Finding the Third Proportional to 10,661,150.53 and 23,024,538.84

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Solution

The third proportional to 10,661,150.53 and 23,024,538.84 is: 49,725,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661,150.53 : 23,024,538.84 = 23,024,538.84 : x
  2. Step 2: Convert to fraction form
    10,661,150.53/23,024,538.84 = 23,024,538.84/x
  3. Step 3: Cross multiply
    10,661,150.53x = 23,024,538.84 × 23,024,538.84
  4. Step 4: Simplify right side
    10,661,150.53x = 530,129,388,967,352.56
  5. Step 5: Solve for x
    x = 530,129,388,967,352.56/10,661,150.53
  6. Step 6: Final answer
    x = 49,725,345.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.