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Finding the Third Proportional to 53,701,236,866 and 84,241,393,313

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Solution

The third proportional to 53,701,236,866 and 84,241,393,313 is: 132,149,886,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,701,236,866 : 84,241,393,313 = 84,241,393,313 : x
  2. Step 2: Convert to fraction form
    53,701,236,866/84,241,393,313 = 84,241,393,313/x
  3. Step 3: Cross multiply
    53,701,236,866x = 84,241,393,313 × 84,241,393,313
  4. Step 4: Simplify right side
    53,701,236,866x = 7,096,612,347,315,561,168,896
  5. Step 5: Solve for x
    x = 7,096,612,347,315,561,168,896/53,701,236,866
  6. Step 6: Final answer
    x = 132,149,886,324.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.