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Finding the Third Proportional to 37,571,501,594 and 80,521,250,152

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Solution

The third proportional to 37,571,501,594 and 80,521,250,152 is: 172,568,874,039.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,571,501,594 : 80,521,250,152 = 80,521,250,152 : x
  2. Step 2: Convert to fraction form
    37,571,501,594/80,521,250,152 = 80,521,250,152/x
  3. Step 3: Cross multiply
    37,571,501,594x = 80,521,250,152 × 80,521,250,152
  4. Step 4: Simplify right side
    37,571,501,594x = 6,483,671,726,040,960,466,944
  5. Step 5: Solve for x
    x = 6,483,671,726,040,960,466,944/37,571,501,594
  6. Step 6: Final answer
    x = 172,568,874,039.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.