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Finding the Third Proportional to 961,844,286 and 2,100,776,496

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Solution

The third proportional to 961,844,286 and 2,100,776,496 is: 4,588,333,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,844,286 : 2,100,776,496 = 2,100,776,496 : x
  2. Step 2: Convert to fraction form
    961,844,286/2,100,776,496 = 2,100,776,496/x
  3. Step 3: Cross multiply
    961,844,286x = 2,100,776,496 × 2,100,776,496
  4. Step 4: Simplify right side
    961,844,286x = 4,413,261,886,146,037,760
  5. Step 5: Solve for x
    x = 4,413,261,886,146,037,760/961,844,286
  6. Step 6: Final answer
    x = 4,588,333,008.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.