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Finding the Third Proportional to 507,558,777,942 and 767,876,751,258

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Solution

The third proportional to 507,558,777,942 and 767,876,751,258 is: 1,161,707,236,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,558,777,942 : 767,876,751,258 = 767,876,751,258 : x
  2. Step 2: Convert to fraction form
    507,558,777,942/767,876,751,258 = 767,876,751,258/x
  3. Step 3: Cross multiply
    507,558,777,942x = 767,876,751,258 × 767,876,751,258
  4. Step 4: Simplify right side
    507,558,777,942x = 589,634,705,122,540,409,323,520
  5. Step 5: Solve for x
    x = 589,634,705,122,540,409,323,520/507,558,777,942
  6. Step 6: Final answer
    x = 1,161,707,236,181.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.