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Finding the Third Proportional to 49,509,248 and 75,686,880

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Solution

The third proportional to 49,509,248 and 75,686,880 is: 115,705,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509,248 : 75,686,880 = 75,686,880 : x
  2. Step 2: Convert to fraction form
    49,509,248/75,686,880 = 75,686,880/x
  3. Step 3: Cross multiply
    49,509,248x = 75,686,880 × 75,686,880
  4. Step 4: Simplify right side
    49,509,248x = 5,728,503,804,134,400
  5. Step 5: Solve for x
    x = 5,728,503,804,134,400/49,509,248
  6. Step 6: Final answer
    x = 115,705,732.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.