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Finding the Third Proportional to 5,709,902,832.56 and 8,728,969,870.13

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Solution

The third proportional to 5,709,902,832.56 and 8,728,969,870.13 is: 13,344,345,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,902,832.56 : 8,728,969,870.13 = 8,728,969,870.13 : x
  2. Step 2: Convert to fraction form
    5,709,902,832.56/8,728,969,870.13 = 8,728,969,870.13/x
  3. Step 3: Cross multiply
    5,709,902,832.56x = 8,728,969,870.13 × 8,728,969,870.13
  4. Step 4: Simplify right side
    5,709,902,832.56x = 76,194,914,993,550,065,664
  5. Step 5: Solve for x
    x = 76,194,914,993,550,065,664/5,709,902,832.56
  6. Step 6: Final answer
    x = 13,344,345,294.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.