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Finding the Third Proportional to 1,909,490,234 and 4,112,796,628

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Solution

The third proportional to 1,909,490,234 and 4,112,796,628 is: 8,858,435,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,490,234 : 4,112,796,628 = 4,112,796,628 : x
  2. Step 2: Convert to fraction form
    1,909,490,234/4,112,796,628 = 4,112,796,628/x
  3. Step 3: Cross multiply
    1,909,490,234x = 4,112,796,628 × 4,112,796,628
  4. Step 4: Simplify right side
    1,909,490,234x = 16,915,096,103,288,170,496
  5. Step 5: Solve for x
    x = 16,915,096,103,288,170,496/1,909,490,234
  6. Step 6: Final answer
    x = 8,858,435,514.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.