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Finding the Third Proportional to 56,766,800 and 124,280,512

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Solution

The third proportional to 56,766,800 and 124,280,512 is: 272,089,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,766,800 : 124,280,512 = 124,280,512 : x
  2. Step 2: Convert to fraction form
    56,766,800/124,280,512 = 124,280,512/x
  3. Step 3: Cross multiply
    56,766,800x = 124,280,512 × 124,280,512
  4. Step 4: Simplify right side
    56,766,800x = 15,445,645,662,982,144
  5. Step 5: Solve for x
    x = 15,445,645,662,982,144/56,766,800
  6. Step 6: Final answer
    x = 272,089,419.57

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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.