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Finding the Third Proportional to 9,821,256 and 14,867,714

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Solution

The third proportional to 9,821,256 and 14,867,714 is: 22,507,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821,256 : 14,867,714 = 14,867,714 : x
  2. Step 2: Convert to fraction form
    9,821,256/14,867,714 = 14,867,714/x
  3. Step 3: Cross multiply
    9,821,256x = 14,867,714 × 14,867,714
  4. Step 4: Simplify right side
    9,821,256x = 221,048,919,585,796
  5. Step 5: Solve for x
    x = 221,048,919,585,796/9,821,256
  6. Step 6: Final answer
    x = 22,507,194.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.