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Finding the Third Proportional to 53,683,146 and 82,086,021

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Solution

The third proportional to 53,683,146 and 82,086,021 is: 125,516,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,683,146 : 82,086,021 = 82,086,021 : x
  2. Step 2: Convert to fraction form
    53,683,146/82,086,021 = 82,086,021/x
  3. Step 3: Cross multiply
    53,683,146x = 82,086,021 × 82,086,021
  4. Step 4: Simplify right side
    53,683,146x = 6,738,114,843,612,441
  5. Step 5: Solve for x
    x = 6,738,114,843,612,441/53,683,146
  6. Step 6: Final answer
    x = 125,516,392.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.