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Finding the Third Proportional to 9,637,166 and 13,215,161.50

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Solution

The third proportional to 9,637,166 and 13,215,161.50 is: 18,121,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637,166 : 13,215,161.50 = 13,215,161.50 : x
  2. Step 2: Convert to fraction form
    9,637,166/13,215,161.50 = 13,215,161.50/x
  3. Step 3: Cross multiply
    9,637,166x = 13,215,161.50 × 13,215,161.50
  4. Step 4: Simplify right side
    9,637,166x = 174,640,493,471,082.25
  5. Step 5: Solve for x
    x = 174,640,493,471,082.25/9,637,166
  6. Step 6: Final answer
    x = 18,121,561.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.