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Finding the Third Proportional to 57,649,635 and 125,936,829

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Solution

The third proportional to 57,649,635 and 125,936,829 is: 275,111,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,649,635 : 125,936,829 = 125,936,829 : x
  2. Step 2: Convert to fraction form
    57,649,635/125,936,829 = 125,936,829/x
  3. Step 3: Cross multiply
    57,649,635x = 125,936,829 × 125,936,829
  4. Step 4: Simplify right side
    57,649,635x = 15,860,084,898,575,240
  5. Step 5: Solve for x
    x = 15,860,084,898,575,240/57,649,635
  6. Step 6: Final answer
    x = 275,111,627.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.