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Finding the Third Proportional to 303,377,505,795.28 and 660,161,673,655.40

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Solution

The third proportional to 303,377,505,795.28 and 660,161,673,655.40 is: 1,436,538,395,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,377,505,795.28 : 660,161,673,655.40 = 660,161,673,655.40 : x
  2. Step 2: Convert to fraction form
    303,377,505,795.28/660,161,673,655.40 = 660,161,673,655.40/x
  3. Step 3: Cross multiply
    303,377,505,795.28x = 660,161,673,655.40 × 660,161,673,655.40
  4. Step 4: Simplify right side
    303,377,505,795.28x = 435,813,435,363,498,857,070,592
  5. Step 5: Solve for x
    x = 435,813,435,363,498,857,070,592/303,377,505,795.28
  6. Step 6: Final answer
    x = 1,436,538,395,360.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.