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Finding the Third Proportional to 13,281,084 and 20,307,024

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Solution

The third proportional to 13,281,084 and 20,307,024 is: 31,049,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281,084 : 20,307,024 = 20,307,024 : x
  2. Step 2: Convert to fraction form
    13,281,084/20,307,024 = 20,307,024/x
  3. Step 3: Cross multiply
    13,281,084x = 20,307,024 × 20,307,024
  4. Step 4: Simplify right side
    13,281,084x = 412,375,223,736,576
  5. Step 5: Solve for x
    x = 412,375,223,736,576/13,281,084
  6. Step 6: Final answer
    x = 31,049,816.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.