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Finding the Third Proportional to 14,440,384 and 31,714,758

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Solution

The third proportional to 14,440,384 and 31,714,758 is: 69,653,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,440,384 : 31,714,758 = 31,714,758 : x
  2. Step 2: Convert to fraction form
    14,440,384/31,714,758 = 31,714,758/x
  3. Step 3: Cross multiply
    14,440,384x = 31,714,758 × 31,714,758
  4. Step 4: Simplify right side
    14,440,384x = 1,005,825,874,998,564
  5. Step 5: Solve for x
    x = 1,005,825,874,998,564/14,440,384
  6. Step 6: Final answer
    x = 69,653,679.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.