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Finding the Third Proportional to 344,363,870,682 and 484,728,898,131

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Solution

The third proportional to 344,363,870,682 and 484,728,898,131 is: 682,307,653,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,363,870,682 : 484,728,898,131 = 484,728,898,131 : x
  2. Step 2: Convert to fraction form
    344,363,870,682/484,728,898,131 = 484,728,898,131/x
  3. Step 3: Cross multiply
    344,363,870,682x = 484,728,898,131 × 484,728,898,131
  4. Step 4: Simplify right side
    344,363,870,682x = 234,962,104,683,293,382,279,168
  5. Step 5: Solve for x
    x = 234,962,104,683,293,382,279,168/344,363,870,682
  6. Step 6: Final answer
    x = 682,307,653,871.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.