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Finding the Third Proportional to 20,213,202 and 31,100,511

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Solution

The third proportional to 20,213,202 and 31,100,511 is: 47,851,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,202 : 31,100,511 = 31,100,511 : x
  2. Step 2: Convert to fraction form
    20,213,202/31,100,511 = 31,100,511/x
  3. Step 3: Cross multiply
    20,213,202x = 31,100,511 × 31,100,511
  4. Step 4: Simplify right side
    20,213,202x = 967,241,784,461,121
  5. Step 5: Solve for x
    x = 967,241,784,461,121/20,213,202
  6. Step 6: Final answer
    x = 47,851,982.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.