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Finding the Third Proportional to 673,765,683,930 and 1,498,175,759,484

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Solution

The third proportional to 673,765,683,930 and 1,498,175,759,484 is: 3,331,322,238,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,765,683,930 : 1,498,175,759,484 = 1,498,175,759,484 : x
  2. Step 2: Convert to fraction form
    673,765,683,930/1,498,175,759,484 = 1,498,175,759,484/x
  3. Step 3: Cross multiply
    673,765,683,930x = 1,498,175,759,484 × 1,498,175,759,484
  4. Step 4: Simplify right side
    673,765,683,930x = 2,244,530,606,305,460,264,894,464
  5. Step 5: Solve for x
    x = 2,244,530,606,305,460,264,894,464/673,765,683,930
  6. Step 6: Final answer
    x = 3,331,322,238,338.65

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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.