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Finding the Third Proportional to 53,019,789,726 and 82,323,331,245

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Solution

The third proportional to 53,019,789,726 and 82,323,331,245 is: 127,822,665,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,019,789,726 : 82,323,331,245 = 82,323,331,245 : x
  2. Step 2: Convert to fraction form
    53,019,789,726/82,323,331,245 = 82,323,331,245/x
  3. Step 3: Cross multiply
    53,019,789,726x = 82,323,331,245 × 82,323,331,245
  4. Step 4: Simplify right side
    53,019,789,726x = 6,777,130,867,273,993,551,872
  5. Step 5: Solve for x
    x = 6,777,130,867,273,993,551,872/53,019,789,726
  6. Step 6: Final answer
    x = 127,822,665,881.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.