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Finding the Third Proportional to 75,551,944 and 165,197,024

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Solution

The third proportional to 75,551,944 and 165,197,024 is: 361,209,193.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,551,944 : 165,197,024 = 165,197,024 : x
  2. Step 2: Convert to fraction form
    75,551,944/165,197,024 = 165,197,024/x
  3. Step 3: Cross multiply
    75,551,944x = 165,197,024 × 165,197,024
  4. Step 4: Simplify right side
    75,551,944x = 27,290,056,738,456,576
  5. Step 5: Solve for x
    x = 27,290,056,738,456,576/75,551,944
  6. Step 6: Final answer
    x = 361,209,193.22

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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.