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Finding the Third Proportional to 14,545,170 and 21,691,621.50

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Solution

The third proportional to 14,545,170 and 21,691,621.50 is: 32,349,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,545,170 : 21,691,621.50 = 21,691,621.50 : x
  2. Step 2: Convert to fraction form
    14,545,170/21,691,621.50 = 21,691,621.50/x
  3. Step 3: Cross multiply
    14,545,170x = 21,691,621.50 × 21,691,621.50
  4. Step 4: Simplify right side
    14,545,170x = 470,526,443,299,262.25
  5. Step 5: Solve for x
    x = 470,526,443,299,262.25/14,545,170
  6. Step 6: Final answer
    x = 32,349,325.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.