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Finding the Third Proportional to 4,628,054,734 and 7,050,363,211

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Solution

The third proportional to 4,628,054,734 and 7,050,363,211 is: 10,740,499,899.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628,054,734 : 7,050,363,211 = 7,050,363,211 : x
  2. Step 2: Convert to fraction form
    4,628,054,734/7,050,363,211 = 7,050,363,211/x
  3. Step 3: Cross multiply
    4,628,054,734x = 7,050,363,211 × 7,050,363,211
  4. Step 4: Simplify right side
    4,628,054,734x = 49,707,621,407,022,227,456
  5. Step 5: Solve for x
    x = 49,707,621,407,022,227,456/4,628,054,734
  6. Step 6: Final answer
    x = 10,740,499,899.85

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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.