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Finding the Third Proportional to 20,715,706 and 31,361,463

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Solution

The third proportional to 20,715,706 and 31,361,463 is: 47,478,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715,706 : 31,361,463 = 31,361,463 : x
  2. Step 2: Convert to fraction form
    20,715,706/31,361,463 = 31,361,463/x
  3. Step 3: Cross multiply
    20,715,706x = 31,361,463 × 31,361,463
  4. Step 4: Simplify right side
    20,715,706x = 983,541,361,500,369
  5. Step 5: Solve for x
    x = 983,541,361,500,369/20,715,706
  6. Step 6: Final answer
    x = 47,478,051.75

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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.