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Finding the Third Proportional to 31,397,033,392 and 48,259,405,878

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Solution

The third proportional to 31,397,033,392 and 48,259,405,878 is: 74,178,035,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397,033,392 : 48,259,405,878 = 48,259,405,878 : x
  2. Step 2: Convert to fraction form
    31,397,033,392/48,259,405,878 = 48,259,405,878/x
  3. Step 3: Cross multiply
    31,397,033,392x = 48,259,405,878 × 48,259,405,878
  4. Step 4: Simplify right side
    31,397,033,392x = 2,328,970,255,697,541,070,848
  5. Step 5: Solve for x
    x = 2,328,970,255,697,541,070,848/31,397,033,392
  6. Step 6: Final answer
    x = 74,178,035,441.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.