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Finding the Third Proportional to 15,783,090,285 and 34,344,640,257

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Solution

The third proportional to 15,783,090,285 and 34,344,640,257 is: 74,735,320,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783,090,285 : 34,344,640,257 = 34,344,640,257 : x
  2. Step 2: Convert to fraction form
    15,783,090,285/34,344,640,257 = 34,344,640,257/x
  3. Step 3: Cross multiply
    15,783,090,285x = 34,344,640,257 × 34,344,640,257
  4. Step 4: Simplify right side
    15,783,090,285x = 1,179,554,314,382,745,010,176
  5. Step 5: Solve for x
    x = 1,179,554,314,382,745,010,176/15,783,090,285
  6. Step 6: Final answer
    x = 74,735,320,718.77

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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.