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Finding the Third Proportional to 4,893,414 and 11,513,208

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Solution

The third proportional to 4,893,414 and 11,513,208 is: 27,088,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893,414 : 11,513,208 = 11,513,208 : x
  2. Step 2: Convert to fraction form
    4,893,414/11,513,208 = 11,513,208/x
  3. Step 3: Cross multiply
    4,893,414x = 11,513,208 × 11,513,208
  4. Step 4: Simplify right side
    4,893,414x = 132,553,958,451,264
  5. Step 5: Solve for x
    x = 132,553,958,451,264/4,893,414
  6. Step 6: Final answer
    x = 27,088,237.06

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.