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Finding the Third Proportional to 9,297,910 and 21,712,143.38

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Solution

The third proportional to 9,297,910 and 21,712,143.38 is: 50,701,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297,910 : 21,712,143.38 = 21,712,143.38 : x
  2. Step 2: Convert to fraction form
    9,297,910/21,712,143.38 = 21,712,143.38/x
  3. Step 3: Cross multiply
    9,297,910x = 21,712,143.38 × 21,712,143.38
  4. Step 4: Simplify right side
    9,297,910x = 471,417,169,936,556.38
  5. Step 5: Solve for x
    x = 471,417,169,936,556.38/9,297,910
  6. Step 6: Final answer
    x = 50,701,412.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.