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Finding the Third Proportional to 11,428,206 and 24,406,313

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Solution

The third proportional to 11,428,206 and 24,406,313 is: 52,122,626.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428,206 : 24,406,313 = 24,406,313 : x
  2. Step 2: Convert to fraction form
    11,428,206/24,406,313 = 24,406,313/x
  3. Step 3: Cross multiply
    11,428,206x = 24,406,313 × 24,406,313
  4. Step 4: Simplify right side
    11,428,206x = 595,668,114,253,969
  5. Step 5: Solve for x
    x = 595,668,114,253,969/11,428,206
  6. Step 6: Final answer
    x = 52,122,626.62

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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.