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Finding the Third Proportional to 8,408,893.50 and 12,985,994.25

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Solution

The third proportional to 8,408,893.50 and 12,985,994.25 is: 20,054,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408,893.50 : 12,985,994.25 = 12,985,994.25 : x
  2. Step 2: Convert to fraction form
    8,408,893.50/12,985,994.25 = 12,985,994.25/x
  3. Step 3: Cross multiply
    8,408,893.50x = 12,985,994.25 × 12,985,994.25
  4. Step 4: Simplify right side
    8,408,893.50x = 168,636,046,661,033.06
  5. Step 5: Solve for x
    x = 168,636,046,661,033.06/8,408,893.50
  6. Step 6: Final answer
    x = 20,054,487.15

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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.