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Finding the Third Proportional to 5,346,964.97 and 11,546,267.63

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Solution

The third proportional to 5,346,964.97 and 11,546,267.63 is: 24,933,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,964.97 : 11,546,267.63 = 11,546,267.63 : x
  2. Step 2: Convert to fraction form
    5,346,964.97/11,546,267.63 = 11,546,267.63/x
  3. Step 3: Cross multiply
    5,346,964.97x = 11,546,267.63 × 11,546,267.63
  4. Step 4: Simplify right side
    5,346,964.97x = 133,316,296,068,123.14
  5. Step 5: Solve for x
    x = 133,316,296,068,123.14/5,346,964.97
  6. Step 6: Final answer
    x = 24,933,078.27

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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.