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Finding the Third Proportional to 59,305,988,654 and 90,346,546,120

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Solution

The third proportional to 59,305,988,654 and 90,346,546,120 is: 137,633,628,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,305,988,654 : 90,346,546,120 = 90,346,546,120 : x
  2. Step 2: Convert to fraction form
    59,305,988,654/90,346,546,120 = 90,346,546,120/x
  3. Step 3: Cross multiply
    59,305,988,654x = 90,346,546,120 × 90,346,546,120
  4. Step 4: Simplify right side
    59,305,988,654x = 8,162,498,395,813,287,297,024
  5. Step 5: Solve for x
    x = 8,162,498,395,813,287,297,024/59,305,988,654
  6. Step 6: Final answer
    x = 137,633,628,256.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.