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Finding the Third Proportional to 15,304,358,262,804 and 33,728,232,120,400

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Solution

The third proportional to 15,304,358,262,804 and 33,728,232,120,400 is: 74,331,352,052,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304,358,262,804 : 33,728,232,120,400 = 33,728,232,120,400 : x
  2. Step 2: Convert to fraction form
    15,304,358,262,804/33,728,232,120,400 = 33,728,232,120,400/x
  3. Step 3: Cross multiply
    15,304,358,262,804x = 33,728,232,120,400 × 33,728,232,120,400
  4. Step 4: Simplify right side
    15,304,358,262,804x = 1,137,593,641,967,582,228,772,814,848
  5. Step 5: Solve for x
    x = 1,137,593,641,967,582,228,772,814,848/15,304,358,262,804
  6. Step 6: Final answer
    x = 74,331,352,052,337.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.