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Finding the Third Proportional to 945,167,028,451 and 2,033,686,089,841

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Solution

The third proportional to 945,167,028,451 and 2,033,686,089,841 is: 4,375,818,228,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,167,028,451 : 2,033,686,089,841 = 2,033,686,089,841 : x
  2. Step 2: Convert to fraction form
    945,167,028,451/2,033,686,089,841 = 2,033,686,089,841/x
  3. Step 3: Cross multiply
    945,167,028,451x = 2,033,686,089,841 × 2,033,686,089,841
  4. Step 4: Simplify right side
    945,167,028,451x = 4,135,879,112,012,775,890,616,320
  5. Step 5: Solve for x
    x = 4,135,879,112,012,775,890,616,320/945,167,028,451
  6. Step 6: Final answer
    x = 4,375,818,228,436.21

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Why These Related Problems?

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