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Finding the Third Proportional to 14,675,256 and 31,126,356

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Solution

The third proportional to 14,675,256 and 31,126,356 is: 66,019,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675,256 : 31,126,356 = 31,126,356 : x
  2. Step 2: Convert to fraction form
    14,675,256/31,126,356 = 31,126,356/x
  3. Step 3: Cross multiply
    14,675,256x = 31,126,356 × 31,126,356
  4. Step 4: Simplify right side
    14,675,256x = 968,850,037,838,736
  5. Step 5: Solve for x
    x = 968,850,037,838,736/14,675,256
  6. Step 6: Final answer
    x = 66,019,293.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.