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Finding the Third Proportional to 299,509,373,574.75 and 607,352,945,322

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Solution

The third proportional to 299,509,373,574.75 and 607,352,945,322 is: 1,231,606,195,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,509,373,574.75 : 607,352,945,322 = 607,352,945,322 : x
  2. Step 2: Convert to fraction form
    299,509,373,574.75/607,352,945,322 = 607,352,945,322/x
  3. Step 3: Cross multiply
    299,509,373,574.75x = 607,352,945,322 × 607,352,945,322
  4. Step 4: Simplify right side
    299,509,373,574.75x = 368,877,600,191,308,298,715,136
  5. Step 5: Solve for x
    x = 368,877,600,191,308,298,715,136/299,509,373,574.75
  6. Step 6: Final answer
    x = 1,231,606,195,788.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.