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Finding the Third Proportional to 51,829,150 and 119,987,658

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Solution

The third proportional to 51,829,150 and 119,987,658 is: 277,778,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,150 : 119,987,658 = 119,987,658 : x
  2. Step 2: Convert to fraction form
    51,829,150/119,987,658 = 119,987,658/x
  3. Step 3: Cross multiply
    51,829,150x = 119,987,658 × 119,987,658
  4. Step 4: Simplify right side
    51,829,150x = 14,397,038,072,324,964
  5. Step 5: Solve for x
    x = 14,397,038,072,324,964/51,829,150
  6. Step 6: Final answer
    x = 277,778,780.33

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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.