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Finding the Third Proportional to 9,687,926 and 22,837,145

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Solution

The third proportional to 9,687,926 and 22,837,145 is: 53,833,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687,926 : 22,837,145 = 22,837,145 : x
  2. Step 2: Convert to fraction form
    9,687,926/22,837,145 = 22,837,145/x
  3. Step 3: Cross multiply
    9,687,926x = 22,837,145 × 22,837,145
  4. Step 4: Simplify right side
    9,687,926x = 521,535,191,751,025
  5. Step 5: Solve for x
    x = 521,535,191,751,025/9,687,926
  6. Step 6: Final answer
    x = 53,833,523.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.