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Finding the Third Proportional to 1,099,646,084,774 and 2,367,352,322,274

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Solution

The third proportional to 1,099,646,084,774 and 2,367,352,322,274 is: 5,096,509,772,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,646,084,774 : 2,367,352,322,274 = 2,367,352,322,274 : x
  2. Step 2: Convert to fraction form
    1,099,646,084,774/2,367,352,322,274 = 2,367,352,322,274/x
  3. Step 3: Cross multiply
    1,099,646,084,774x = 2,367,352,322,274 × 2,367,352,322,274
  4. Step 4: Simplify right side
    1,099,646,084,774x = 5,604,357,017,776,100,487,462,912
  5. Step 5: Solve for x
    x = 5,604,357,017,776,100,487,462,912/1,099,646,084,774
  6. Step 6: Final answer
    x = 5,096,509,772,894.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.