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Finding the Third Proportional to 5,317,118 and 11,596,588

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Solution

The third proportional to 5,317,118 and 11,596,588 is: 25,292,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317,118 : 11,596,588 = 11,596,588 : x
  2. Step 2: Convert to fraction form
    5,317,118/11,596,588 = 11,596,588/x
  3. Step 3: Cross multiply
    5,317,118x = 11,596,588 × 11,596,588
  4. Step 4: Simplify right side
    5,317,118x = 134,480,853,241,744
  5. Step 5: Solve for x
    x = 134,480,853,241,744/5,317,118
  6. Step 6: Final answer
    x = 25,292,057.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.