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Finding the Third Proportional to 13,720,716 and 27,094,423.50

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Solution

The third proportional to 13,720,716 and 27,094,423.50 is: 53,503,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720,716 : 27,094,423.50 = 27,094,423.50 : x
  2. Step 2: Convert to fraction form
    13,720,716/27,094,423.50 = 27,094,423.50/x
  3. Step 3: Cross multiply
    13,720,716x = 27,094,423.50 × 27,094,423.50
  4. Step 4: Simplify right side
    13,720,716x = 734,107,784,797,352.25
  5. Step 5: Solve for x
    x = 734,107,784,797,352.25/13,720,716
  6. Step 6: Final answer
    x = 53,503,606.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.