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Finding the Third Proportional to 12,997,469.25 and 20,241,501.75

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Solution

The third proportional to 12,997,469.25 and 20,241,501.75 is: 31,522,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997,469.25 : 20,241,501.75 = 20,241,501.75 : x
  2. Step 2: Convert to fraction form
    12,997,469.25/20,241,501.75 = 20,241,501.75/x
  3. Step 3: Cross multiply
    12,997,469.25x = 20,241,501.75 × 20,241,501.75
  4. Step 4: Simplify right side
    12,997,469.25x = 409,718,393,095,253.06
  5. Step 5: Solve for x
    x = 409,718,393,095,253.06/12,997,469.25
  6. Step 6: Final answer
    x = 31,522,936.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.