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Finding the Third Proportional to 20,651,494,306 and 31,223,108,195

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Solution

The third proportional to 20,651,494,306 and 31,223,108,195 is: 47,206,389,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651,494,306 : 31,223,108,195 = 31,223,108,195 : x
  2. Step 2: Convert to fraction form
    20,651,494,306/31,223,108,195 = 31,223,108,195/x
  3. Step 3: Cross multiply
    20,651,494,306x = 31,223,108,195 × 31,223,108,195
  4. Step 4: Simplify right side
    20,651,494,306x = 974,882,485,356,676,120,576
  5. Step 5: Solve for x
    x = 974,882,485,356,676,120,576/20,651,494,306
  6. Step 6: Final answer
    x = 47,206,389,567.34

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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.