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Finding the Third Proportional to 49,509,224 and 75,686,844

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Solution

The third proportional to 49,509,224 and 75,686,844 is: 115,705,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509,224 : 75,686,844 = 75,686,844 : x
  2. Step 2: Convert to fraction form
    49,509,224/75,686,844 = 75,686,844/x
  3. Step 3: Cross multiply
    49,509,224x = 75,686,844 × 75,686,844
  4. Step 4: Simplify right side
    49,509,224x = 5,728,498,354,680,336
  5. Step 5: Solve for x
    x = 5,728,498,354,680,336/49,509,224
  6. Step 6: Final answer
    x = 115,705,678.49

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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.