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Finding the Third Proportional to 75,578,040,064 and 162,372,065,024

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Solution

The third proportional to 75,578,040,064 and 162,372,065,024 is: 348,840,582,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578,040,064 : 162,372,065,024 = 162,372,065,024 : x
  2. Step 2: Convert to fraction form
    75,578,040,064/162,372,065,024 = 162,372,065,024/x
  3. Step 3: Cross multiply
    75,578,040,064x = 162,372,065,024 × 162,372,065,024
  4. Step 4: Simplify right side
    75,578,040,064x = 26,364,687,500,158,083,006,464
  5. Step 5: Solve for x
    x = 26,364,687,500,158,083,006,464/75,578,040,064
  6. Step 6: Final answer
    x = 348,840,582,235.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.