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Finding the Third Proportional to 12,381,003 and 16,512,430.50

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Solution

The third proportional to 12,381,003 and 16,512,430.50 is: 22,022,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381,003 : 16,512,430.50 = 16,512,430.50 : x
  2. Step 2: Convert to fraction form
    12,381,003/16,512,430.50 = 16,512,430.50/x
  3. Step 3: Cross multiply
    12,381,003x = 16,512,430.50 × 16,512,430.50
  4. Step 4: Simplify right side
    12,381,003x = 272,660,361,017,330.25
  5. Step 5: Solve for x
    x = 272,660,361,017,330.25/12,381,003
  6. Step 6: Final answer
    x = 22,022,477.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.