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Finding the Third Proportional to 1,028,074,063 and 1,566,216,212

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Solution

The third proportional to 1,028,074,063 and 1,566,216,212 is: 2,386,047,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,074,063 : 1,566,216,212 = 1,566,216,212 : x
  2. Step 2: Convert to fraction form
    1,028,074,063/1,566,216,212 = 1,566,216,212/x
  3. Step 3: Cross multiply
    1,028,074,063x = 1,566,216,212 × 1,566,216,212
  4. Step 4: Simplify right side
    1,028,074,063x = 2,453,033,222,731,629,056
  5. Step 5: Solve for x
    x = 2,453,033,222,731,629,056/1,028,074,063
  6. Step 6: Final answer
    x = 2,386,047,183.77

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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.