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Finding the Third Proportional to 287,381,971.50 and 629,170,174.50

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Solution

The third proportional to 287,381,971.50 and 629,170,174.50 is: 1,377,452,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,381,971.50 : 629,170,174.50 = 629,170,174.50 : x
  2. Step 2: Convert to fraction form
    287,381,971.50/629,170,174.50 = 629,170,174.50/x
  3. Step 3: Cross multiply
    287,381,971.50x = 629,170,174.50 × 629,170,174.50
  4. Step 4: Simplify right side
    287,381,971.50x = 395,855,108,480,360,448
  5. Step 5: Solve for x
    x = 395,855,108,480,360,448/287,381,971.50
  6. Step 6: Final answer
    x = 1,377,452,824.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.