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Finding the Third Proportional to 1,744,876,267,008.80 and 3,818,448,974,396.20

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Solution

The third proportional to 1,744,876,267,008.80 and 3,818,448,974,396.20 is: 8,356,210,033,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,876,267,008.80 : 3,818,448,974,396.20 = 3,818,448,974,396.20 : x
  2. Step 2: Convert to fraction form
    1,744,876,267,008.80/3,818,448,974,396.20 = 3,818,448,974,396.20/x
  3. Step 3: Cross multiply
    1,744,876,267,008.80x = 3,818,448,974,396.20 × 3,818,448,974,396.20
  4. Step 4: Simplify right side
    1,744,876,267,008.80x = 14,580,552,570,067,392,296,648,704
  5. Step 5: Solve for x
    x = 14,580,552,570,067,392,296,648,704/1,744,876,267,008.80
  6. Step 6: Final answer
    x = 8,356,210,033,770.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.