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Finding the Third Proportional to 3,035,206,364 and 7,026,065,168

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Solution

The third proportional to 3,035,206,364 and 7,026,065,168 is: 16,264,327,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,206,364 : 7,026,065,168 = 7,026,065,168 : x
  2. Step 2: Convert to fraction form
    3,035,206,364/7,026,065,168 = 7,026,065,168/x
  3. Step 3: Cross multiply
    3,035,206,364x = 7,026,065,168 × 7,026,065,168
  4. Step 4: Simplify right side
    3,035,206,364x = 49,365,591,744,982,867,968
  5. Step 5: Solve for x
    x = 49,365,591,744,982,867,968/3,035,206,364
  6. Step 6: Final answer
    x = 16,264,327,964.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.