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Finding the Third Proportional to 13,310,664.19 and 20,446,816.50

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Solution

The third proportional to 13,310,664.19 and 20,446,816.50 is: 31,408,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,310,664.19 : 20,446,816.50 = 20,446,816.50 : x
  2. Step 2: Convert to fraction form
    13,310,664.19/20,446,816.50 = 20,446,816.50/x
  3. Step 3: Cross multiply
    13,310,664.19x = 20,446,816.50 × 20,446,816.50
  4. Step 4: Simplify right side
    13,310,664.19x = 418,072,304,984,672.25
  5. Step 5: Solve for x
    x = 418,072,304,984,672.25/13,310,664.19
  6. Step 6: Final answer
    x = 31,408,823.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.