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Finding the Third Proportional to 27,122,196 and 40,935,515

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Solution

The third proportional to 27,122,196 and 40,935,515 is: 61,783,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122,196 : 40,935,515 = 40,935,515 : x
  2. Step 2: Convert to fraction form
    27,122,196/40,935,515 = 40,935,515/x
  3. Step 3: Cross multiply
    27,122,196x = 40,935,515 × 40,935,515
  4. Step 4: Simplify right side
    27,122,196x = 1,675,716,388,315,225
  5. Step 5: Solve for x
    x = 1,675,716,388,315,225/27,122,196
  6. Step 6: Final answer
    x = 61,783,949.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.