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Finding the Third Proportional to 294,674,085 and 491,093,877.38

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Solution

The third proportional to 294,674,085 and 491,093,877.38 is: 818,440,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,674,085 : 491,093,877.38 = 491,093,877.38 : x
  2. Step 2: Convert to fraction form
    294,674,085/491,093,877.38 = 491,093,877.38/x
  3. Step 3: Cross multiply
    294,674,085x = 491,093,877.38 × 491,093,877.38
  4. Step 4: Simplify right side
    294,674,085x = 241,173,196,395,211,552
  5. Step 5: Solve for x
    x = 241,173,196,395,211,552/294,674,085
  6. Step 6: Final answer
    x = 818,440,469.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.