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Finding the Third Proportional to 75,884,229,669 and 168,735,089,628

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Solution

The third proportional to 75,884,229,669 and 168,735,089,628 is: 375,196,936,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,884,229,669 : 168,735,089,628 = 168,735,089,628 : x
  2. Step 2: Convert to fraction form
    75,884,229,669/168,735,089,628 = 168,735,089,628/x
  3. Step 3: Cross multiply
    75,884,229,669x = 168,735,089,628 × 168,735,089,628
  4. Step 4: Simplify right side
    75,884,229,669x = 28,471,530,471,769,191,219,200
  5. Step 5: Solve for x
    x = 28,471,530,471,769,191,219,200/75,884,229,669
  6. Step 6: Final answer
    x = 375,196,936,121.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.