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Finding the Third Proportional to 14,467,846 and 31,207,318

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Solution

The third proportional to 14,467,846 and 31,207,318 is: 67,314,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467,846 : 31,207,318 = 31,207,318 : x
  2. Step 2: Convert to fraction form
    14,467,846/31,207,318 = 31,207,318/x
  3. Step 3: Cross multiply
    14,467,846x = 31,207,318 × 31,207,318
  4. Step 4: Simplify right side
    14,467,846x = 973,896,696,753,124
  5. Step 5: Solve for x
    x = 973,896,696,753,124/14,467,846
  6. Step 6: Final answer
    x = 67,314,560.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.