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Finding the Third Proportional to 1,464,601,648 and 2,210,522,286

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Solution

The third proportional to 1,464,601,648 and 2,210,522,286 is: 3,336,339,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,601,648 : 2,210,522,286 = 2,210,522,286 : x
  2. Step 2: Convert to fraction form
    1,464,601,648/2,210,522,286 = 2,210,522,286/x
  3. Step 3: Cross multiply
    1,464,601,648x = 2,210,522,286 × 2,210,522,286
  4. Step 4: Simplify right side
    1,464,601,648x = 4,886,408,776,902,666,240
  5. Step 5: Solve for x
    x = 4,886,408,776,902,666,240/1,464,601,648
  6. Step 6: Final answer
    x = 3,336,339,805.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.