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Finding the Third Proportional to 5,820,012 and 12,569,256

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Solution

The third proportional to 5,820,012 and 12,569,256 is: 27,145,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820,012 : 12,569,256 = 12,569,256 : x
  2. Step 2: Convert to fraction form
    5,820,012/12,569,256 = 12,569,256/x
  3. Step 3: Cross multiply
    5,820,012x = 12,569,256 × 12,569,256
  4. Step 4: Simplify right side
    5,820,012x = 157,986,196,393,536
  5. Step 5: Solve for x
    x = 157,986,196,393,536/5,820,012
  6. Step 6: Final answer
    x = 27,145,338.60

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