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Finding the Third Proportional to 2,694,647,730 and 5,897,277,284

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Solution

The third proportional to 2,694,647,730 and 5,897,277,284 is: 12,906,280,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694,647,730 : 5,897,277,284 = 5,897,277,284 : x
  2. Step 2: Convert to fraction form
    2,694,647,730/5,897,277,284 = 5,897,277,284/x
  3. Step 3: Cross multiply
    2,694,647,730x = 5,897,277,284 × 5,897,277,284
  4. Step 4: Simplify right side
    2,694,647,730x = 34,777,879,364,382,416,896
  5. Step 5: Solve for x
    x = 34,777,879,364,382,416,896/2,694,647,730
  6. Step 6: Final answer
    x = 12,906,280,467.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.