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Finding the Third Proportional to 9,296,967 and 20,087,796

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Solution

The third proportional to 9,296,967 and 20,087,796 is: 43,403,353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,967 : 20,087,796 = 20,087,796 : x
  2. Step 2: Convert to fraction form
    9,296,967/20,087,796 = 20,087,796/x
  3. Step 3: Cross multiply
    9,296,967x = 20,087,796 × 20,087,796
  4. Step 4: Simplify right side
    9,296,967x = 403,519,548,137,616
  5. Step 5: Solve for x
    x = 403,519,548,137,616/9,296,967
  6. Step 6: Final answer
    x = 43,403,353.82

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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.