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Finding the Third Proportional to 20,715,675 and 31,361,417

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Solution

The third proportional to 20,715,675 and 31,361,417 is: 47,477,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715,675 : 31,361,417 = 31,361,417 : x
  2. Step 2: Convert to fraction form
    20,715,675/31,361,417 = 31,361,417/x
  3. Step 3: Cross multiply
    20,715,675x = 31,361,417 × 31,361,417
  4. Step 4: Simplify right side
    20,715,675x = 983,538,476,247,889
  5. Step 5: Solve for x
    x = 983,538,476,247,889/20,715,675
  6. Step 6: Final answer
    x = 47,477,983.52

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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.