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Finding the Third Proportional to 3,190,927,412 and 4,901,655,198

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Solution

The third proportional to 3,190,927,412 and 4,901,655,198 is: 7,529,542,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190,927,412 : 4,901,655,198 = 4,901,655,198 : x
  2. Step 2: Convert to fraction form
    3,190,927,412/4,901,655,198 = 4,901,655,198/x
  3. Step 3: Cross multiply
    3,190,927,412x = 4,901,655,198 × 4,901,655,198
  4. Step 4: Simplify right side
    3,190,927,412x = 24,026,223,680,080,420,864
  5. Step 5: Solve for x
    x = 24,026,223,680,080,420,864/3,190,927,412
  6. Step 6: Final answer
    x = 7,529,542,536.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.