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Finding the Third Proportional to 11,426,514 and 23,799,972

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Solution

The third proportional to 11,426,514 and 23,799,972 is: 49,572,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426,514 : 23,799,972 = 23,799,972 : x
  2. Step 2: Convert to fraction form
    11,426,514/23,799,972 = 23,799,972/x
  3. Step 3: Cross multiply
    11,426,514x = 23,799,972 × 23,799,972
  4. Step 4: Simplify right side
    11,426,514x = 566,438,667,200,784
  5. Step 5: Solve for x
    x = 566,438,667,200,784/11,426,514
  6. Step 6: Final answer
    x = 49,572,307.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.