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Finding the Third Proportional to 6,093,460,374 and 8,419,777,967

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Solution

The third proportional to 6,093,460,374 and 8,419,777,967 is: 11,634,220,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093,460,374 : 8,419,777,967 = 8,419,777,967 : x
  2. Step 2: Convert to fraction form
    6,093,460,374/8,419,777,967 = 8,419,777,967/x
  3. Step 3: Cross multiply
    6,093,460,374x = 8,419,777,967 × 8,419,777,967
  4. Step 4: Simplify right side
    6,093,460,374x = 70,892,661,013,578,653,696
  5. Step 5: Solve for x
    x = 70,892,661,013,578,653,696/6,093,460,374
  6. Step 6: Final answer
    x = 11,634,220,403.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.