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Finding the Third Proportional to 20,213,216 and 31,100,532

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Solution

The third proportional to 20,213,216 and 31,100,532 is: 47,852,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213,216 : 31,100,532 = 31,100,532 : x
  2. Step 2: Convert to fraction form
    20,213,216/31,100,532 = 31,100,532/x
  3. Step 3: Cross multiply
    20,213,216x = 31,100,532 × 31,100,532
  4. Step 4: Simplify right side
    20,213,216x = 967,243,090,683,024
  5. Step 5: Solve for x
    x = 967,243,090,683,024/20,213,216
  6. Step 6: Final answer
    x = 47,852,013.79

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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.