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Finding the Third Proportional to 1,909,490,242 and 4,112,796,644

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Solution

The third proportional to 1,909,490,242 and 4,112,796,644 is: 8,858,435,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,490,242 : 4,112,796,644 = 4,112,796,644 : x
  2. Step 2: Convert to fraction form
    1,909,490,242/4,112,796,644 = 4,112,796,644/x
  3. Step 3: Cross multiply
    1,909,490,242x = 4,112,796,644 × 4,112,796,644
  4. Step 4: Simplify right side
    1,909,490,242x = 16,915,096,234,897,661,952
  5. Step 5: Solve for x
    x = 16,915,096,234,897,661,952/1,909,490,242
  6. Step 6: Final answer
    x = 8,858,435,546.22

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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.