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Finding the Third Proportional to 673,765,683,927.75 and 1,498,175,759,479.50

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Solution

The third proportional to 673,765,683,927.75 and 1,498,175,759,479.50 is: 3,331,322,238,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,765,683,927.75 : 1,498,175,759,479.50 = 1,498,175,759,479.50 : x
  2. Step 2: Convert to fraction form
    673,765,683,927.75/1,498,175,759,479.50 = 1,498,175,759,479.50/x
  3. Step 3: Cross multiply
    673,765,683,927.75x = 1,498,175,759,479.50 × 1,498,175,759,479.50
  4. Step 4: Simplify right side
    673,765,683,927.75x = 2,244,530,606,291,976,751,939,584
  5. Step 5: Solve for x
    x = 2,244,530,606,291,976,751,939,584/673,765,683,927.75
  6. Step 6: Final answer
    x = 3,331,322,238,329.76

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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.