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Finding the Third Proportional to 9,783,458,758,232 and 21,284,600,856,891

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Solution

The third proportional to 9,783,458,758,232 and 21,284,600,856,891 is: 46,306,142,319,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783,458,758,232 : 21,284,600,856,891 = 21,284,600,856,891 : x
  2. Step 2: Convert to fraction form
    9,783,458,758,232/21,284,600,856,891 = 21,284,600,856,891/x
  3. Step 3: Cross multiply
    9,783,458,758,232x = 21,284,600,856,891 × 21,284,600,856,891
  4. Step 4: Simplify right side
    9,783,458,758,232x = 453,034,233,637,165,095,016,464,384
  5. Step 5: Solve for x
    x = 453,034,233,637,165,095,016,464,384/9,783,458,758,232
  6. Step 6: Final answer
    x = 46,306,142,319,654.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.