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Finding the Third Proportional to 12,847,104 and 19,228,032

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Solution

The third proportional to 12,847,104 and 19,228,032 is: 28,778,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847,104 : 19,228,032 = 19,228,032 : x
  2. Step 2: Convert to fraction form
    12,847,104/19,228,032 = 19,228,032/x
  3. Step 3: Cross multiply
    12,847,104x = 19,228,032 × 19,228,032
  4. Step 4: Simplify right side
    12,847,104x = 369,717,214,593,024
  5. Step 5: Solve for x
    x = 369,717,214,593,024/12,847,104
  6. Step 6: Final answer
    x = 28,778,253.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.