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Finding the Third Proportional to 37,571,501,592 and 80,521,250,148

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Solution

The third proportional to 37,571,501,592 and 80,521,250,148 is: 172,568,874,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,571,501,592 : 80,521,250,148 = 80,521,250,148 : x
  2. Step 2: Convert to fraction form
    37,571,501,592/80,521,250,148 = 80,521,250,148/x
  3. Step 3: Cross multiply
    37,571,501,592x = 80,521,250,148 × 80,521,250,148
  4. Step 4: Simplify right side
    37,571,501,592x = 6,483,671,725,396,789,821,440
  5. Step 5: Solve for x
    x = 6,483,671,725,396,789,821,440/37,571,501,592
  6. Step 6: Final answer
    x = 172,568,874,031.30

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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.