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Finding the Third Proportional to 11,428,205 and 24,406,311

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Solution

The third proportional to 11,428,205 and 24,406,311 is: 52,122,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428,205 : 24,406,311 = 24,406,311 : x
  2. Step 2: Convert to fraction form
    11,428,205/24,406,311 = 24,406,311/x
  3. Step 3: Cross multiply
    11,428,205x = 24,406,311 × 24,406,311
  4. Step 4: Simplify right side
    11,428,205x = 595,668,016,628,721
  5. Step 5: Solve for x
    x = 595,668,016,628,721/11,428,205
  6. Step 6: Final answer
    x = 52,122,622.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.