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Finding the Third Proportional to 13,259,767.50 and 19,807,989.75

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Solution

The third proportional to 13,259,767.50 and 19,807,989.75 is: 29,589,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259,767.50 : 19,807,989.75 = 19,807,989.75 : x
  2. Step 2: Convert to fraction form
    13,259,767.50/19,807,989.75 = 19,807,989.75/x
  3. Step 3: Cross multiply
    13,259,767.50x = 19,807,989.75 × 19,807,989.75
  4. Step 4: Simplify right side
    13,259,767.50x = 392,356,457,936,105.06
  5. Step 5: Solve for x
    x = 392,356,457,936,105.06/13,259,767.50
  6. Step 6: Final answer
    x = 29,589,995.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.