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Finding the Third Proportional to 35,263,548 and 82,972,995.75

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Solution

The third proportional to 35,263,548 and 82,972,995.75 is: 195,230,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,263,548 : 82,972,995.75 = 82,972,995.75 : x
  2. Step 2: Convert to fraction form
    35,263,548/82,972,995.75 = 82,972,995.75/x
  3. Step 3: Cross multiply
    35,263,548x = 82,972,995.75 × 82,972,995.75
  4. Step 4: Simplify right side
    35,263,548x = 6,884,518,023,729,518
  5. Step 5: Solve for x
    x = 6,884,518,023,729,518/35,263,548
  6. Step 6: Final answer
    x = 195,230,440.90

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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.