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Finding the Third Proportional to 6,297,241,824 and 14,578,500,816

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Solution

The third proportional to 6,297,241,824 and 14,578,500,816 is: 33,750,122,987.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297,241,824 : 14,578,500,816 = 14,578,500,816 : x
  2. Step 2: Convert to fraction form
    6,297,241,824/14,578,500,816 = 14,578,500,816/x
  3. Step 3: Cross multiply
    6,297,241,824x = 14,578,500,816 × 14,578,500,816
  4. Step 4: Simplify right side
    6,297,241,824x = 212,532,686,042,112,655,360
  5. Step 5: Solve for x
    x = 212,532,686,042,112,655,360/6,297,241,824
  6. Step 6: Final answer
    x = 33,750,122,987.51

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.