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Finding the Third Proportional to 49,743,312 and 107,044,880

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Solution

The third proportional to 49,743,312 and 107,044,880 is: 230,354,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,743,312 : 107,044,880 = 107,044,880 : x
  2. Step 2: Convert to fraction form
    49,743,312/107,044,880 = 107,044,880/x
  3. Step 3: Cross multiply
    49,743,312x = 107,044,880 × 107,044,880
  4. Step 4: Simplify right side
    49,743,312x = 11,458,606,334,214,400
  5. Step 5: Solve for x
    x = 11,458,606,334,214,400/49,743,312
  6. Step 6: Final answer
    x = 230,354,712.49

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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.