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Finding the Third Proportional to 51,829,174 and 119,987,712.75

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Solution

The third proportional to 51,829,174 and 119,987,712.75 is: 277,778,905.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,174 : 119,987,712.75 = 119,987,712.75 : x
  2. Step 2: Convert to fraction form
    51,829,174/119,987,712.75 = 119,987,712.75/x
  3. Step 3: Cross multiply
    51,829,174x = 119,987,712.75 × 119,987,712.75
  4. Step 4: Simplify right side
    51,829,174x = 14,397,051,210,976,512
  5. Step 5: Solve for x
    x = 14,397,051,210,976,512/51,829,174
  6. Step 6: Final answer
    x = 277,778,905.20

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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.