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Finding the Third Proportional to 9,501,644 and 22,174,610

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Solution

The third proportional to 9,501,644 and 22,174,610 is: 51,750,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501,644 : 22,174,610 = 22,174,610 : x
  2. Step 2: Convert to fraction form
    9,501,644/22,174,610 = 22,174,610/x
  3. Step 3: Cross multiply
    9,501,644x = 22,174,610 × 22,174,610
  4. Step 4: Simplify right side
    9,501,644x = 491,713,328,652,100
  5. Step 5: Solve for x
    x = 491,713,328,652,100/9,501,644
  6. Step 6: Final answer
    x = 51,750,342.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.