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Finding the Third Proportional to 51,829,162 and 119,987,683

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Solution

The third proportional to 51,829,162 and 119,987,683 is: 277,778,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,162 : 119,987,683 = 119,987,683 : x
  2. Step 2: Convert to fraction form
    51,829,162/119,987,683 = 119,987,683/x
  3. Step 3: Cross multiply
    51,829,162x = 119,987,683 × 119,987,683
  4. Step 4: Simplify right side
    51,829,162x = 14,397,044,071,708,488
  5. Step 5: Solve for x
    x = 14,397,044,071,708,488/51,829,162
  6. Step 6: Final answer
    x = 277,778,831.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.