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Finding the Third Proportional to 22,674,816 and 34,432,128

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Solution

The third proportional to 22,674,816 and 34,432,128 is: 52,285,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674,816 : 34,432,128 = 34,432,128 : x
  2. Step 2: Convert to fraction form
    22,674,816/34,432,128 = 34,432,128/x
  3. Step 3: Cross multiply
    22,674,816x = 34,432,128 × 34,432,128
  4. Step 4: Simplify right side
    22,674,816x = 1,185,571,438,608,384
  5. Step 5: Solve for x
    x = 1,185,571,438,608,384/22,674,816
  6. Step 6: Final answer
    x = 52,285,824

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.