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Finding the Third Proportional to 9,635,211 and 14,186,669

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Solution

The third proportional to 9,635,211 and 14,186,669 is: 20,888,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635,211 : 14,186,669 = 14,186,669 : x
  2. Step 2: Convert to fraction form
    9,635,211/14,186,669 = 14,186,669/x
  3. Step 3: Cross multiply
    9,635,211x = 14,186,669 × 14,186,669
  4. Step 4: Simplify right side
    9,635,211x = 201,261,577,315,561
  5. Step 5: Solve for x
    x = 201,261,577,315,561/9,635,211
  6. Step 6: Final answer
    x = 20,888,133.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.