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Finding the Third Proportional to 71,717,532,507 and 107,181,024,741

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Solution

The third proportional to 71,717,532,507 and 107,181,024,741 is: 160,180,804,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,717,532,507 : 107,181,024,741 = 107,181,024,741 : x
  2. Step 2: Convert to fraction form
    71,717,532,507/107,181,024,741 = 107,181,024,741/x
  3. Step 3: Cross multiply
    71,717,532,507x = 107,181,024,741 × 107,181,024,741
  4. Step 4: Simplify right side
    71,717,532,507x = 11,487,772,064,530,854,576,128
  5. Step 5: Solve for x
    x = 11,487,772,064,530,854,576,128/71,717,532,507
  6. Step 6: Final answer
    x = 160,180,804,650.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.