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Finding the Third Proportional to 372,589,233,550 and 810,460,039,900

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Solution

The third proportional to 372,589,233,550 and 810,460,039,900 is: 1,762,921,247,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,589,233,550 : 810,460,039,900 = 810,460,039,900 : x
  2. Step 2: Convert to fraction form
    372,589,233,550/810,460,039,900 = 810,460,039,900/x
  3. Step 3: Cross multiply
    372,589,233,550x = 810,460,039,900 × 810,460,039,900
  4. Step 4: Simplify right side
    372,589,233,550x = 656,845,476,274,709,595,160,576
  5. Step 5: Solve for x
    x = 656,845,476,274,709,595,160,576/372,589,233,550
  6. Step 6: Final answer
    x = 1,762,921,247,123.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.