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Finding the Third Proportional to 45,834,238 and 66,284,307

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Solution

The third proportional to 45,834,238 and 66,284,307 is: 95,858,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,834,238 : 66,284,307 = 66,284,307 : x
  2. Step 2: Convert to fraction form
    45,834,238/66,284,307 = 66,284,307/x
  3. Step 3: Cross multiply
    45,834,238x = 66,284,307 × 66,284,307
  4. Step 4: Simplify right side
    45,834,238x = 4,393,609,354,470,249
  5. Step 5: Solve for x
    x = 4,393,609,354,470,249/45,834,238
  6. Step 6: Final answer
    x = 95,858,675.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.