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Finding the Third Proportional to 3,124,647,975 and 6,684,182,370

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Solution

The third proportional to 3,124,647,975 and 6,684,182,370 is: 14,298,664,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124,647,975 : 6,684,182,370 = 6,684,182,370 : x
  2. Step 2: Convert to fraction form
    3,124,647,975/6,684,182,370 = 6,684,182,370/x
  3. Step 3: Cross multiply
    3,124,647,975x = 6,684,182,370 × 6,684,182,370
  4. Step 4: Simplify right side
    3,124,647,975x = 44,678,293,955,418,816,512
  5. Step 5: Solve for x
    x = 44,678,293,955,418,816,512/3,124,647,975
  6. Step 6: Final answer
    x = 14,298,664,781.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.