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Finding the Third Proportional to 647,741,172 and 1,410,489,381

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Solution

The third proportional to 647,741,172 and 1,410,489,381 is: 3,071,412,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,741,172 : 1,410,489,381 = 1,410,489,381 : x
  2. Step 2: Convert to fraction form
    647,741,172/1,410,489,381 = 1,410,489,381/x
  3. Step 3: Cross multiply
    647,741,172x = 1,410,489,381 × 1,410,489,381
  4. Step 4: Simplify right side
    647,741,172x = 1,989,480,293,913,763,072
  5. Step 5: Solve for x
    x = 1,989,480,293,913,763,072/647,741,172
  6. Step 6: Final answer
    x = 3,071,412,440.51

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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.