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Finding the Third Proportional to 686,512,671.75 and 1,490,058,615.38

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Solution

The third proportional to 686,512,671.75 and 1,490,058,615.38 is: 3,234,135,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,512,671.75 : 1,490,058,615.38 = 1,490,058,615.38 : x
  2. Step 2: Convert to fraction form
    686,512,671.75/1,490,058,615.38 = 1,490,058,615.38/x
  3. Step 3: Cross multiply
    686,512,671.75x = 1,490,058,615.38 × 1,490,058,615.38
  4. Step 4: Simplify right side
    686,512,671.75x = 2,220,274,677,253,262,080
  5. Step 5: Solve for x
    x = 2,220,274,677,253,262,080/686,512,671.75
  6. Step 6: Final answer
    x = 3,234,135,025.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.