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Finding the Third Proportional to 53,701,236,852 and 84,241,393,292

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Solution

The third proportional to 53,701,236,852 and 84,241,393,292 is: 132,149,886,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,701,236,852 : 84,241,393,292 = 84,241,393,292 : x
  2. Step 2: Convert to fraction form
    53,701,236,852/84,241,393,292 = 84,241,393,292/x
  3. Step 3: Cross multiply
    53,701,236,852x = 84,241,393,292 × 84,241,393,292
  4. Step 4: Simplify right side
    53,701,236,852x = 7,096,612,343,777,422,475,264
  5. Step 5: Solve for x
    x = 7,096,612,343,777,422,475,264/53,701,236,852
  6. Step 6: Final answer
    x = 132,149,886,292.85

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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.