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Finding the Third Proportional to 126,089,411 and 273,701,008

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Solution

The third proportional to 126,089,411 and 273,701,008 is: 594,120,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,089,411 : 273,701,008 = 273,701,008 : x
  2. Step 2: Convert to fraction form
    126,089,411/273,701,008 = 273,701,008/x
  3. Step 3: Cross multiply
    126,089,411x = 273,701,008 × 273,701,008
  4. Step 4: Simplify right side
    126,089,411x = 74,912,241,780,216,064
  5. Step 5: Solve for x
    x = 74,912,241,780,216,064/126,089,411
  6. Step 6: Final answer
    x = 594,120,007.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.