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Finding the Third Proportional to 62,297,501,660,464 and 91,580,091,033,150

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Solution

The third proportional to 62,297,501,660,464 and 91,580,091,033,150 is: 134,626,796,421,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,297,501,660,464 : 91,580,091,033,150 = 91,580,091,033,150 : x
  2. Step 2: Convert to fraction form
    62,297,501,660,464/91,580,091,033,150 = 91,580,091,033,150/x
  3. Step 3: Cross multiply
    62,297,501,660,464x = 91,580,091,033,150 × 91,580,091,033,150
  4. Step 4: Simplify right side
    62,297,501,660,464x = 8,386,913,073,640,040,984,081,334,272
  5. Step 5: Solve for x
    x = 8,386,913,073,640,040,984,081,334,272/62,297,501,660,464
  6. Step 6: Final answer
    x = 134,626,796,421,960.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.