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Finding the Third Proportional to 27,869,512 and 38,510,636

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Solution

The third proportional to 27,869,512 and 38,510,636 is: 53,214,748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,869,512 : 38,510,636 = 38,510,636 : x
  2. Step 2: Convert to fraction form
    27,869,512/38,510,636 = 38,510,636/x
  3. Step 3: Cross multiply
    27,869,512x = 38,510,636 × 38,510,636
  4. Step 4: Simplify right side
    27,869,512x = 1,483,069,085,124,496
  5. Step 5: Solve for x
    x = 1,483,069,085,124,496/27,869,512
  6. Step 6: Final answer
    x = 53,214,748.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.