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Finding the Third Proportional to 673,765,688,816 and 1,498,175,769,240

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Solution

The third proportional to 673,765,688,816 and 1,498,175,769,240 is: 3,331,322,257,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,765,688,816 : 1,498,175,769,240 = 1,498,175,769,240 : x
  2. Step 2: Convert to fraction form
    673,765,688,816/1,498,175,769,240 = 1,498,175,769,240/x
  3. Step 3: Cross multiply
    673,765,688,816x = 1,498,175,769,240 × 1,498,175,769,240
  4. Step 4: Simplify right side
    673,765,688,816x = 2,244,530,635,537,865,601,187,840
  5. Step 5: Solve for x
    x = 2,244,530,635,537,865,601,187,840/673,765,688,816
  6. Step 6: Final answer
    x = 3,331,322,257,567.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.