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Finding the Third Proportional to 11,736,348 and 25,208,086

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Solution

The third proportional to 11,736,348 and 25,208,086 is: 54,143,554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736,348 : 25,208,086 = 25,208,086 : x
  2. Step 2: Convert to fraction form
    11,736,348/25,208,086 = 25,208,086/x
  3. Step 3: Cross multiply
    11,736,348x = 25,208,086 × 25,208,086
  4. Step 4: Simplify right side
    11,736,348x = 635,447,599,783,396
  5. Step 5: Solve for x
    x = 635,447,599,783,396/11,736,348
  6. Step 6: Final answer
    x = 54,143,554.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.