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Finding the Third Proportional to 39,296,445,198 and 85,478,034,180

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Solution

The third proportional to 39,296,445,198 and 85,478,034,180 is: 185,932,704,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296,445,198 : 85,478,034,180 = 85,478,034,180 : x
  2. Step 2: Convert to fraction form
    39,296,445,198/85,478,034,180 = 85,478,034,180/x
  3. Step 3: Cross multiply
    39,296,445,198x = 85,478,034,180 × 85,478,034,180
  4. Step 4: Simplify right side
    39,296,445,198x = 7,306,494,327,277,248,053,248
  5. Step 5: Solve for x
    x = 7,306,494,327,277,248,053,248/39,296,445,198
  6. Step 6: Final answer
    x = 185,932,704,356.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.