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Finding the Third Proportional to 6,286,084 and 13,723,640

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Solution

The third proportional to 6,286,084 and 13,723,640 is: 29,961,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,084 : 13,723,640 = 13,723,640 : x
  2. Step 2: Convert to fraction form
    6,286,084/13,723,640 = 13,723,640/x
  3. Step 3: Cross multiply
    6,286,084x = 13,723,640 × 13,723,640
  4. Step 4: Simplify right side
    6,286,084x = 188,338,294,849,600
  5. Step 5: Solve for x
    x = 188,338,294,849,600/6,286,084
  6. Step 6: Final answer
    x = 29,961,148.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.