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Finding the Third Proportional to 14,228,884 and 31,223,208

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Solution

The third proportional to 14,228,884 and 31,223,208 is: 68,514,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228,884 : 31,223,208 = 31,223,208 : x
  2. Step 2: Convert to fraction form
    14,228,884/31,223,208 = 31,223,208/x
  3. Step 3: Cross multiply
    14,228,884x = 31,223,208 × 31,223,208
  4. Step 4: Simplify right side
    14,228,884x = 974,888,717,811,264
  5. Step 5: Solve for x
    x = 974,888,717,811,264/14,228,884
  6. Step 6: Final answer
    x = 68,514,770.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.