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Finding the Third Proportional to 14,467,844 and 31,207,314

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Solution

The third proportional to 14,467,844 and 31,207,314 is: 67,314,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467,844 : 31,207,314 = 31,207,314 : x
  2. Step 2: Convert to fraction form
    14,467,844/31,207,314 = 31,207,314/x
  3. Step 3: Cross multiply
    14,467,844x = 31,207,314 × 31,207,314
  4. Step 4: Simplify right side
    14,467,844x = 973,896,447,094,596
  5. Step 5: Solve for x
    x = 973,896,447,094,596/14,467,844
  6. Step 6: Final answer
    x = 67,314,552.68

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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.