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Finding the Third Proportional to 35,397,148.50 and 77,228,451

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Solution

The third proportional to 35,397,148.50 and 77,228,451 is: 168,494,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,397,148.50 : 77,228,451 = 77,228,451 : x
  2. Step 2: Convert to fraction form
    35,397,148.50/77,228,451 = 77,228,451/x
  3. Step 3: Cross multiply
    35,397,148.50x = 77,228,451 × 77,228,451
  4. Step 4: Simplify right side
    35,397,148.50x = 5,964,233,643,859,401
  5. Step 5: Solve for x
    x = 5,964,233,643,859,401/35,397,148.50
  6. Step 6: Final answer
    x = 168,494,748.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.