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Finding the Third Proportional to 14,660,424 and 22,369,824

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Solution

The third proportional to 14,660,424 and 22,369,824 is: 34,133,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,660,424 : 22,369,824 = 22,369,824 : x
  2. Step 2: Convert to fraction form
    14,660,424/22,369,824 = 22,369,824/x
  3. Step 3: Cross multiply
    14,660,424x = 22,369,824 × 22,369,824
  4. Step 4: Simplify right side
    14,660,424x = 500,409,025,790,976
  5. Step 5: Solve for x
    x = 500,409,025,790,976/14,660,424
  6. Step 6: Final answer
    x = 34,133,325.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.