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Finding the Third Proportional to 1,591,529,514 and 3,424,923,726

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Solution

The third proportional to 1,591,529,514 and 3,424,923,726 is: 7,370,333,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591,529,514 : 3,424,923,726 = 3,424,923,726 : x
  2. Step 2: Convert to fraction form
    1,591,529,514/3,424,923,726 = 3,424,923,726/x
  3. Step 3: Cross multiply
    1,591,529,514x = 3,424,923,726 × 3,424,923,726
  4. Step 4: Simplify right side
    1,591,529,514x = 11,730,102,528,917,723,136
  5. Step 5: Solve for x
    x = 11,730,102,528,917,723,136/1,591,529,514
  6. Step 6: Final answer
    x = 7,370,333,019.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.