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Finding the Third Proportional to 673,765,683,862.50 and 1,498,175,759,349

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Solution

The third proportional to 673,765,683,862.50 and 1,498,175,759,349 is: 3,331,322,238,072.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,765,683,862.50 : 1,498,175,759,349 = 1,498,175,759,349 : x
  2. Step 2: Convert to fraction form
    673,765,683,862.50/1,498,175,759,349 = 1,498,175,759,349/x
  3. Step 3: Cross multiply
    673,765,683,862.50x = 1,498,175,759,349 × 1,498,175,759,349
  4. Step 4: Simplify right side
    673,765,683,862.50x = 2,244,530,605,900,952,728,764,416
  5. Step 5: Solve for x
    x = 2,244,530,605,900,952,728,764,416/673,765,683,862.50
  6. Step 6: Final answer
    x = 3,331,322,238,072.03

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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.