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Finding the Third Proportional to 4,284,084 and 9,273,480

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Solution

The third proportional to 4,284,084 and 9,273,480 is: 20,073,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284,084 : 9,273,480 = 9,273,480 : x
  2. Step 2: Convert to fraction form
    4,284,084/9,273,480 = 9,273,480/x
  3. Step 3: Cross multiply
    4,284,084x = 9,273,480 × 9,273,480
  4. Step 4: Simplify right side
    4,284,084x = 85,997,431,310,400
  5. Step 5: Solve for x
    x = 85,997,431,310,400/4,284,084
  6. Step 6: Final answer
    x = 20,073,703.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.