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Finding the Third Proportional to 4,744,841,464.88 and 10,203,765,254.25

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Solution

The third proportional to 4,744,841,464.88 and 10,203,765,254.25 is: 21,943,162,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,841,464.88 : 10,203,765,254.25 = 10,203,765,254.25 : x
  2. Step 2: Convert to fraction form
    4,744,841,464.88/10,203,765,254.25 = 10,203,765,254.25/x
  3. Step 3: Cross multiply
    4,744,841,464.88x = 10,203,765,254.25 × 10,203,765,254.25
  4. Step 4: Simplify right side
    4,744,841,464.88x = 104,116,825,363,839,565,824
  5. Step 5: Solve for x
    x = 104,116,825,363,839,565,824/4,744,841,464.88
  6. Step 6: Final answer
    x = 21,943,162,091.84

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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.