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Finding the Third Proportional to 22,432,147 and 47,973,114

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Solution

The third proportional to 22,432,147 and 47,973,114 is: 102,594,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432,147 : 47,973,114 = 47,973,114 : x
  2. Step 2: Convert to fraction form
    22,432,147/47,973,114 = 47,973,114/x
  3. Step 3: Cross multiply
    22,432,147x = 47,973,114 × 47,973,114
  4. Step 4: Simplify right side
    22,432,147x = 2,301,419,666,856,996
  5. Step 5: Solve for x
    x = 2,301,419,666,856,996/22,432,147
  6. Step 6: Final answer
    x = 102,594,712.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.