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Finding the Third Proportional to 11,765,858,454.75 and 25,210,271,098.25

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Solution

The third proportional to 11,765,858,454.75 and 25,210,271,098.25 is: 54,017,118,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765,858,454.75 : 25,210,271,098.25 = 25,210,271,098.25 : x
  2. Step 2: Convert to fraction form
    11,765,858,454.75/25,210,271,098.25 = 25,210,271,098.25/x
  3. Step 3: Cross multiply
    11,765,858,454.75x = 25,210,271,098.25 × 25,210,271,098.25
  4. Step 4: Simplify right side
    11,765,858,454.75x = 635,557,768,847,259,205,632
  5. Step 5: Solve for x
    x = 635,557,768,847,259,205,632/11,765,858,454.75
  6. Step 6: Final answer
    x = 54,017,118,367.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.