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Finding the Third Proportional to 8,195,496,626,094 and 18,223,389,327,840

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Solution

The third proportional to 8,195,496,626,094 and 18,223,389,327,840 is: 40,521,268,416,690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,496,626,094 : 18,223,389,327,840 = 18,223,389,327,840 : x
  2. Step 2: Convert to fraction form
    8,195,496,626,094/18,223,389,327,840 = 18,223,389,327,840/x
  3. Step 3: Cross multiply
    8,195,496,626,094x = 18,223,389,327,840 × 18,223,389,327,840
  4. Step 4: Simplify right side
    8,195,496,626,094x = 332,091,918,594,032,815,629,664,256
  5. Step 5: Solve for x
    x = 332,091,918,594,032,815,629,664,256/8,195,496,626,094
  6. Step 6: Final answer
    x = 40,521,268,416,690.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.