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Finding the Third Proportional to 20,299,306 and 47,902,729

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Solution

The third proportional to 20,299,306 and 47,902,729 is: 113,041,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299,306 : 47,902,729 = 47,902,729 : x
  2. Step 2: Convert to fraction form
    20,299,306/47,902,729 = 47,902,729/x
  3. Step 3: Cross multiply
    20,299,306x = 47,902,729 × 47,902,729
  4. Step 4: Simplify right side
    20,299,306x = 2,294,671,445,647,441
  5. Step 5: Solve for x
    x = 2,294,671,445,647,441/20,299,306
  6. Step 6: Final answer
    x = 113,041,866.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.