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Finding the Third Proportional to 9,945,264 and 21,420,821

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Solution

The third proportional to 9,945,264 and 21,420,821 is: 46,137,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,264 : 21,420,821 = 21,420,821 : x
  2. Step 2: Convert to fraction form
    9,945,264/21,420,821 = 21,420,821/x
  3. Step 3: Cross multiply
    9,945,264x = 21,420,821 × 21,420,821
  4. Step 4: Simplify right side
    9,945,264x = 458,851,572,314,041
  5. Step 5: Solve for x
    x = 458,851,572,314,041/9,945,264
  6. Step 6: Final answer
    x = 46,137,696.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.