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Finding the Third Proportional to 193,370,872,404 and 416,128,315,092

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Solution

The third proportional to 193,370,872,404 and 416,128,315,092 is: 895,495,647,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,370,872,404 : 416,128,315,092 = 416,128,315,092 : x
  2. Step 2: Convert to fraction form
    193,370,872,404/416,128,315,092 = 416,128,315,092/x
  3. Step 3: Cross multiply
    193,370,872,404x = 416,128,315,092 × 416,128,315,092
  4. Step 4: Simplify right side
    193,370,872,404x = 173,162,774,621,306,822,328,320
  5. Step 5: Solve for x
    x = 173,162,774,621,306,822,328,320/193,370,872,404
  6. Step 6: Final answer
    x = 895,495,647,656.42

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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.