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Finding the Third Proportional to 2,323,469.81 and 5,032,945.13

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Solution

The third proportional to 2,323,469.81 and 5,032,945.13 is: 10,902,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323,469.81 : 5,032,945.13 = 5,032,945.13 : x
  2. Step 2: Convert to fraction form
    2,323,469.81/5,032,945.13 = 5,032,945.13/x
  3. Step 3: Cross multiply
    2,323,469.81x = 5,032,945.13 × 5,032,945.13
  4. Step 4: Simplify right side
    2,323,469.81x = 25,330,536,631,261.27
  5. Step 5: Solve for x
    x = 25,330,536,631,261.27/2,323,469.81
  6. Step 6: Final answer
    x = 10,902,029.58

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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.