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Finding the Third Proportional to 14,658,568 and 31,589,138

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Solution

The third proportional to 14,658,568 and 31,589,138 is: 68,074,428.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658,568 : 31,589,138 = 31,589,138 : x
  2. Step 2: Convert to fraction form
    14,658,568/31,589,138 = 31,589,138/x
  3. Step 3: Cross multiply
    14,658,568x = 31,589,138 × 31,589,138
  4. Step 4: Simplify right side
    14,658,568x = 997,873,639,583,044
  5. Step 5: Solve for x
    x = 997,873,639,583,044/14,658,568
  6. Step 6: Final answer
    x = 68,074,428.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.