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Finding the Third Proportional to 1,596,828,284 and 3,494,682,838

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Solution

The third proportional to 1,596,828,284 and 3,494,682,838 is: 7,648,166,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,828,284 : 3,494,682,838 = 3,494,682,838 : x
  2. Step 2: Convert to fraction form
    1,596,828,284/3,494,682,838 = 3,494,682,838/x
  3. Step 3: Cross multiply
    1,596,828,284x = 3,494,682,838 × 3,494,682,838
  4. Step 4: Simplify right side
    1,596,828,284x = 12,212,808,138,211,733,504
  5. Step 5: Solve for x
    x = 12,212,808,138,211,733,504/1,596,828,284
  6. Step 6: Final answer
    x = 7,648,166,218.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.