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Finding the Third Proportional to 949,557,747 and 1,434,259,100.25

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Solution

The third proportional to 949,557,747 and 1,434,259,100.25 is: 2,166,376,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,557,747 : 1,434,259,100.25 = 1,434,259,100.25 : x
  2. Step 2: Convert to fraction form
    949,557,747/1,434,259,100.25 = 1,434,259,100.25/x
  3. Step 3: Cross multiply
    949,557,747x = 1,434,259,100.25 × 1,434,259,100.25
  4. Step 4: Simplify right side
    949,557,747x = 2,057,099,166,649,939,456
  5. Step 5: Solve for x
    x = 2,057,099,166,649,939,456/949,557,747
  6. Step 6: Final answer
    x = 2,166,376,055.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.