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Finding the Third Proportional to 39,296,445,214 and 85,478,034,212

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Solution

The third proportional to 39,296,445,214 and 85,478,034,212 is: 185,932,704,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296,445,214 : 85,478,034,212 = 85,478,034,212 : x
  2. Step 2: Convert to fraction form
    39,296,445,214/85,478,034,212 = 85,478,034,212/x
  3. Step 3: Cross multiply
    39,296,445,214x = 85,478,034,212 × 85,478,034,212
  4. Step 4: Simplify right side
    39,296,445,214x = 7,306,494,332,747,842,060,288
  5. Step 5: Solve for x
    x = 7,306,494,332,747,842,060,288/39,296,445,214
  6. Step 6: Final answer
    x = 185,932,704,420.42

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Why These Related Problems?

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