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Finding the Third Proportional to 25,540,326 and 56,749,356

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Solution

The third proportional to 25,540,326 and 56,749,356 is: 126,094,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,540,326 : 56,749,356 = 56,749,356 : x
  2. Step 2: Convert to fraction form
    25,540,326/56,749,356 = 56,749,356/x
  3. Step 3: Cross multiply
    25,540,326x = 56,749,356 × 56,749,356
  4. Step 4: Simplify right side
    25,540,326x = 3,220,489,406,414,736
  5. Step 5: Solve for x
    x = 3,220,489,406,414,736/25,540,326
  6. Step 6: Final answer
    x = 126,094,295.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.