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Finding the Third Proportional to 35,267,520 and 76,420,326

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Solution

The third proportional to 35,267,520 and 76,420,326 is: 165,593,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,267,520 : 76,420,326 = 76,420,326 : x
  2. Step 2: Convert to fraction form
    35,267,520/76,420,326 = 76,420,326/x
  3. Step 3: Cross multiply
    35,267,520x = 76,420,326 × 76,420,326
  4. Step 4: Simplify right side
    35,267,520x = 5,840,066,225,946,276
  5. Step 5: Solve for x
    x = 5,840,066,225,946,276/35,267,520
  6. Step 6: Final answer
    x = 165,593,334.21

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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.