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Finding the Third Proportional to 3,166,802,976 and 6,550,836,288

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Solution

The third proportional to 3,166,802,976 and 6,550,836,288 is: 13,551,034,402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166,802,976 : 6,550,836,288 = 6,550,836,288 : x
  2. Step 2: Convert to fraction form
    3,166,802,976/6,550,836,288 = 6,550,836,288/x
  3. Step 3: Cross multiply
    3,166,802,976x = 6,550,836,288 × 6,550,836,288
  4. Step 4: Simplify right side
    3,166,802,976x = 42,913,456,072,177,614,848
  5. Step 5: Solve for x
    x = 42,913,456,072,177,614,848/3,166,802,976
  6. Step 6: Final answer
    x = 13,551,034,402.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.