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Finding the Third Proportional to 15,304,358,262,784 and 33,728,232,120,360

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Solution

The third proportional to 15,304,358,262,784 and 33,728,232,120,360 is: 74,331,352,052,258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304,358,262,784 : 33,728,232,120,360 = 33,728,232,120,360 : x
  2. Step 2: Convert to fraction form
    15,304,358,262,784/33,728,232,120,360 = 33,728,232,120,360/x
  3. Step 3: Cross multiply
    15,304,358,262,784x = 33,728,232,120,360 × 33,728,232,120,360
  4. Step 4: Simplify right side
    15,304,358,262,784x = 1,137,593,641,964,884,027,238,252,544
  5. Step 5: Solve for x
    x = 1,137,593,641,964,884,027,238,252,544/15,304,358,262,784
  6. Step 6: Final answer
    x = 74,331,352,052,258.19

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Why These Related Problems?

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