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Finding the Third Proportional to 299,664,532,398.38 and 699,241,405,494.36

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Solution

The third proportional to 299,664,532,398.38 and 699,241,405,494.36 is: 1,631,619,662,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,664,532,398.38 : 699,241,405,494.36 = 699,241,405,494.36 : x
  2. Step 2: Convert to fraction form
    299,664,532,398.38/699,241,405,494.36 = 699,241,405,494.36/x
  3. Step 3: Cross multiply
    299,664,532,398.38x = 699,241,405,494.36 × 699,241,405,494.36
  4. Step 4: Simplify right side
    299,664,532,398.38x = 488,938,543,157,727,935,332,352
  5. Step 5: Solve for x
    x = 488,938,543,157,727,935,332,352/299,664,532,398.38
  6. Step 6: Final answer
    x = 1,631,619,662,308.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.