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Finding the Third Proportional to 436,643,573 and 946,960,003

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Solution

The third proportional to 436,643,573 and 946,960,003 is: 2,053,696,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,643,573 : 946,960,003 = 946,960,003 : x
  2. Step 2: Convert to fraction form
    436,643,573/946,960,003 = 946,960,003/x
  3. Step 3: Cross multiply
    436,643,573x = 946,960,003 × 946,960,003
  4. Step 4: Simplify right side
    436,643,573x = 896,733,247,281,760,000
  5. Step 5: Solve for x
    x = 896,733,247,281,760,000/436,643,573
  6. Step 6: Final answer
    x = 2,053,696,201.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.