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Finding the Third Proportional to 9,632,808 and 13,209,192

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Solution

The third proportional to 9,632,808 and 13,209,192 is: 18,113,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632,808 : 13,209,192 = 13,209,192 : x
  2. Step 2: Convert to fraction form
    9,632,808/13,209,192 = 13,209,192/x
  3. Step 3: Cross multiply
    9,632,808x = 13,209,192 × 13,209,192
  4. Step 4: Simplify right side
    9,632,808x = 174,482,753,292,864
  5. Step 5: Solve for x
    x = 174,482,753,292,864/9,632,808
  6. Step 6: Final answer
    x = 18,113,384.31

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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.