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Finding the Third Proportional to 5,357,742 and 11,755,991.63

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Solution

The third proportional to 5,357,742 and 11,755,991.63 is: 25,795,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357,742 : 11,755,991.63 = 11,755,991.63 : x
  2. Step 2: Convert to fraction form
    5,357,742/11,755,991.63 = 11,755,991.63/x
  3. Step 3: Cross multiply
    5,357,742x = 11,755,991.63 × 11,755,991.63
  4. Step 4: Simplify right side
    5,357,742x = 138,203,339,087,070.14
  5. Step 5: Solve for x
    x = 138,203,339,087,070.14/5,357,742
  6. Step 6: Final answer
    x = 25,795,071.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.