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Finding the Third Proportional to 13,277,695.50 and 20,038,522.50

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Solution

The third proportional to 13,277,695.50 and 20,038,522.50 is: 30,241,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277,695.50 : 20,038,522.50 = 20,038,522.50 : x
  2. Step 2: Convert to fraction form
    13,277,695.50/20,038,522.50 = 20,038,522.50/x
  3. Step 3: Cross multiply
    13,277,695.50x = 20,038,522.50 × 20,038,522.50
  4. Step 4: Simplify right side
    13,277,695.50x = 401,542,383,983,006.25
  5. Step 5: Solve for x
    x = 401,542,383,983,006.25/13,277,695.50
  6. Step 6: Final answer
    x = 30,241,873.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.