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Finding the Third Proportional to 35,263,509 and 82,972,893

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Solution

The third proportional to 35,263,509 and 82,972,893 is: 195,230,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,263,509 : 82,972,893 = 82,972,893 : x
  2. Step 2: Convert to fraction form
    35,263,509/82,972,893 = 82,972,893/x
  3. Step 3: Cross multiply
    35,263,509x = 82,972,893 × 82,972,893
  4. Step 4: Simplify right side
    35,263,509x = 6,884,500,972,789,449
  5. Step 5: Solve for x
    x = 6,884,500,972,789,449/35,263,509
  6. Step 6: Final answer
    x = 195,230,173.29

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.