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Finding the Third Proportional to 20,651,494,304 and 31,223,108,192

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Solution

The third proportional to 20,651,494,304 and 31,223,108,192 is: 47,206,389,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651,494,304 : 31,223,108,192 = 31,223,108,192 : x
  2. Step 2: Convert to fraction form
    20,651,494,304/31,223,108,192 = 31,223,108,192/x
  3. Step 3: Cross multiply
    20,651,494,304x = 31,223,108,192 × 31,223,108,192
  4. Step 4: Simplify right side
    20,651,494,304x = 974,882,485,169,337,532,416
  5. Step 5: Solve for x
    x = 974,882,485,169,337,532,416/20,651,494,304
  6. Step 6: Final answer
    x = 47,206,389,562.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.