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Finding the Third Proportional to 35,267,488 and 76,420,254

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Solution

The third proportional to 35,267,488 and 76,420,254 is: 165,593,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,267,488 : 76,420,254 = 76,420,254 : x
  2. Step 2: Convert to fraction form
    35,267,488/76,420,254 = 76,420,254/x
  3. Step 3: Cross multiply
    35,267,488x = 76,420,254 × 76,420,254
  4. Step 4: Simplify right side
    35,267,488x = 5,840,055,221,424,516
  5. Step 5: Solve for x
    x = 5,840,055,221,424,516/35,267,488
  6. Step 6: Final answer
    x = 165,593,172.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.