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Finding the Third Proportional to 9,635,778 and 14,187,456

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Solution

The third proportional to 9,635,778 and 14,187,456 is: 20,889,222.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635,778 : 14,187,456 = 14,187,456 : x
  2. Step 2: Convert to fraction form
    9,635,778/14,187,456 = 14,187,456/x
  3. Step 3: Cross multiply
    9,635,778x = 14,187,456 × 14,187,456
  4. Step 4: Simplify right side
    9,635,778x = 201,283,907,751,936
  5. Step 5: Solve for x
    x = 201,283,907,751,936/9,635,778
  6. Step 6: Final answer
    x = 20,889,222.20

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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.