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Finding the Third Proportional to 664,454,677 and 1,431,142,802

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Solution

The third proportional to 664,454,677 and 1,431,142,802 is: 3,082,482,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,454,677 : 1,431,142,802 = 1,431,142,802 : x
  2. Step 2: Convert to fraction form
    664,454,677/1,431,142,802 = 1,431,142,802/x
  3. Step 3: Cross multiply
    664,454,677x = 1,431,142,802 × 1,431,142,802
  4. Step 4: Simplify right side
    664,454,677x = 2,048,169,719,716,411,136
  5. Step 5: Solve for x
    x = 2,048,169,719,716,411,136/664,454,677
  6. Step 6: Final answer
    x = 3,082,482,207.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.