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Finding the Third Proportional to 5,663,268,732.94 and 7,874,322,498

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Solution

The third proportional to 5,663,268,732.94 and 7,874,322,498 is: 10,948,616,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,268,732.94 : 7,874,322,498 = 7,874,322,498 : x
  2. Step 2: Convert to fraction form
    5,663,268,732.94/7,874,322,498 = 7,874,322,498/x
  3. Step 3: Cross multiply
    5,663,268,732.94x = 7,874,322,498 × 7,874,322,498
  4. Step 4: Simplify right side
    5,663,268,732.94x = 62,004,954,802,508,963,840
  5. Step 5: Solve for x
    x = 62,004,954,802,508,963,840/5,663,268,732.94
  6. Step 6: Final answer
    x = 10,948,616,024.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.