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Finding the Third Proportional to 10,420,416 and 15,739,512

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Solution

The third proportional to 10,420,416 and 15,739,512 is: 23,773,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420,416 : 15,739,512 = 15,739,512 : x
  2. Step 2: Convert to fraction form
    10,420,416/15,739,512 = 15,739,512/x
  3. Step 3: Cross multiply
    10,420,416x = 15,739,512 × 15,739,512
  4. Step 4: Simplify right side
    10,420,416x = 247,732,237,998,144
  5. Step 5: Solve for x
    x = 247,732,237,998,144/10,420,416
  6. Step 6: Final answer
    x = 23,773,737.82

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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.