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Finding the Third Proportional to 373,964,454,858 and 758,334,907,493

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Solution

The third proportional to 373,964,454,858 and 758,334,907,493 is: 1,537,771,369,583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,964,454,858 : 758,334,907,493 = 758,334,907,493 : x
  2. Step 2: Convert to fraction form
    373,964,454,858/758,334,907,493 = 758,334,907,493/x
  3. Step 3: Cross multiply
    373,964,454,858x = 758,334,907,493 × 758,334,907,493
  4. Step 4: Simplify right side
    373,964,454,858x = 575,071,831,922,416,864,460,800
  5. Step 5: Solve for x
    x = 575,071,831,922,416,864,460,800/373,964,454,858
  6. Step 6: Final answer
    x = 1,537,771,369,583.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.