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Finding the Third Proportional to 6,828,794,229 and 10,243,191,330

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Solution

The third proportional to 6,828,794,229 and 10,243,191,330 is: 15,364,786,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828,794,229 : 10,243,191,330 = 10,243,191,330 : x
  2. Step 2: Convert to fraction form
    6,828,794,229/10,243,191,330 = 10,243,191,330/x
  3. Step 3: Cross multiply
    6,828,794,229x = 10,243,191,330 × 10,243,191,330
  4. Step 4: Simplify right side
    6,828,794,229x = 104,922,968,622,987,165,696
  5. Step 5: Solve for x
    x = 104,922,968,622,987,165,696/6,828,794,229
  6. Step 6: Final answer
    x = 15,364,786,974.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.