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Finding the Third Proportional to 51,768,436 and 82,413,668

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Solution

The third proportional to 51,768,436 and 82,413,668 is: 131,199,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768,436 : 82,413,668 = 82,413,668 : x
  2. Step 2: Convert to fraction form
    51,768,436/82,413,668 = 82,413,668/x
  3. Step 3: Cross multiply
    51,768,436x = 82,413,668 × 82,413,668
  4. Step 4: Simplify right side
    51,768,436x = 6,792,012,673,214,224
  5. Step 5: Solve for x
    x = 6,792,012,673,214,224/51,768,436
  6. Step 6: Final answer
    x = 131,199,881.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.