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Finding the Third Proportional to 32,464,642,001 and 69,815,100,988

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Solution

The third proportional to 32,464,642,001 and 69,815,100,988 is: 150,137,134,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464,642,001 : 69,815,100,988 = 69,815,100,988 : x
  2. Step 2: Convert to fraction form
    32,464,642,001/69,815,100,988 = 69,815,100,988/x
  3. Step 3: Cross multiply
    32,464,642,001x = 69,815,100,988 × 69,815,100,988
  4. Step 4: Simplify right side
    32,464,642,001x = 4,874,148,325,964,638,060,544
  5. Step 5: Solve for x
    x = 4,874,148,325,964,638,060,544/32,464,642,001
  6. Step 6: Final answer
    x = 150,137,134,603.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.