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Finding the Third Proportional to 1,922,520,995 and 3,946,960,564

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Solution

The third proportional to 1,922,520,995 and 3,946,960,564 is: 8,103,161,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,520,995 : 3,946,960,564 = 3,946,960,564 : x
  2. Step 2: Convert to fraction form
    1,922,520,995/3,946,960,564 = 3,946,960,564/x
  3. Step 3: Cross multiply
    1,922,520,995x = 3,946,960,564 × 3,946,960,564
  4. Step 4: Simplify right side
    1,922,520,995x = 15,578,497,693,771,198,464
  5. Step 5: Solve for x
    x = 15,578,497,693,771,198,464/1,922,520,995
  6. Step 6: Final answer
    x = 8,103,161,283.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.