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Finding the Third Proportional to 301,296,942,446.35 and 650,523,681,036

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Solution

The third proportional to 301,296,942,446.35 and 650,523,681,036 is: 1,404,531,543,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,296,942,446.35 : 650,523,681,036 = 650,523,681,036 : x
  2. Step 2: Convert to fraction form
    301,296,942,446.35/650,523,681,036 = 650,523,681,036/x
  3. Step 3: Cross multiply
    301,296,942,446.35x = 650,523,681,036 × 650,523,681,036
  4. Step 4: Simplify right side
    301,296,942,446.35x = 423,181,059,588,627,451,871,232
  5. Step 5: Solve for x
    x = 423,181,059,588,627,451,871,232/301,296,942,446.35
  6. Step 6: Final answer
    x = 1,404,531,543,375.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.