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Finding the Third Proportional to 67,478,865,255 and 140,542,916,497.50

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Solution

The third proportional to 67,478,865,255 and 140,542,916,497.50 is: 292,718,487,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,478,865,255 : 140,542,916,497.50 = 140,542,916,497.50 : x
  2. Step 2: Convert to fraction form
    67,478,865,255/140,542,916,497.50 = 140,542,916,497.50/x
  3. Step 3: Cross multiply
    67,478,865,255x = 140,542,916,497.50 × 140,542,916,497.50
  4. Step 4: Simplify right side
    67,478,865,255x = 19,752,311,377,623,259,283,456
  5. Step 5: Solve for x
    x = 19,752,311,377,623,259,283,456/67,478,865,255
  6. Step 6: Final answer
    x = 292,718,487,529.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.