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Finding the Third Proportional to 29,821,981.50 and 65,226,267

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Solution

The third proportional to 29,821,981.50 and 65,226,267 is: 142,662,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821,981.50 : 65,226,267 = 65,226,267 : x
  2. Step 2: Convert to fraction form
    29,821,981.50/65,226,267 = 65,226,267/x
  3. Step 3: Cross multiply
    29,821,981.50x = 65,226,267 × 65,226,267
  4. Step 4: Simplify right side
    29,821,981.50x = 4,254,465,906,755,289
  5. Step 5: Solve for x
    x = 4,254,465,906,755,289/29,821,981.50
  6. Step 6: Final answer
    x = 142,662,079.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.