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Finding the Third Proportional to 4,628,054,716 and 7,050,363,183

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Solution

The third proportional to 4,628,054,716 and 7,050,363,183 is: 10,740,499,856.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628,054,716 : 7,050,363,183 = 7,050,363,183 : x
  2. Step 2: Convert to fraction form
    4,628,054,716/7,050,363,183 = 7,050,363,183/x
  3. Step 3: Cross multiply
    4,628,054,716x = 7,050,363,183 × 7,050,363,183
  4. Step 4: Simplify right side
    4,628,054,716x = 49,707,621,012,201,889,792
  5. Step 5: Solve for x
    x = 49,707,621,012,201,889,792/4,628,054,716
  6. Step 6: Final answer
    x = 10,740,499,856.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.