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Finding the Third Proportional to 19,583,221,852.50 and 29,395,560,198

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Solution

The third proportional to 19,583,221,852.50 and 29,395,560,198 is: 44,124,453,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,583,221,852.50 : 29,395,560,198 = 29,395,560,198 : x
  2. Step 2: Convert to fraction form
    19,583,221,852.50/29,395,560,198 = 29,395,560,198/x
  3. Step 3: Cross multiply
    19,583,221,852.50x = 29,395,560,198 × 29,395,560,198
  4. Step 4: Simplify right side
    19,583,221,852.50x = 864,098,959,354,241,744,896
  5. Step 5: Solve for x
    x = 864,098,959,354,241,744,896/19,583,221,852.50
  6. Step 6: Final answer
    x = 44,124,453,364.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.