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Finding the Third Proportional to 30,946,325,894 and 46,452,243,289

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Solution

The third proportional to 30,946,325,894 and 46,452,243,289 is: 69,727,531,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946,325,894 : 46,452,243,289 = 46,452,243,289 : x
  2. Step 2: Convert to fraction form
    30,946,325,894/46,452,243,289 = 46,452,243,289/x
  3. Step 3: Cross multiply
    30,946,325,894x = 46,452,243,289 × 46,452,243,289
  4. Step 4: Simplify right side
    30,946,325,894x = 2,157,810,906,580,445,560,832
  5. Step 5: Solve for x
    x = 2,157,810,906,580,445,560,832/30,946,325,894
  6. Step 6: Final answer
    x = 69,727,531,273.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.