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Finding the Third Proportional to 1,909,490,240 and 4,112,796,640

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Solution

The third proportional to 1,909,490,240 and 4,112,796,640 is: 8,858,435,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909,490,240 : 4,112,796,640 = 4,112,796,640 : x
  2. Step 2: Convert to fraction form
    1,909,490,240/4,112,796,640 = 4,112,796,640/x
  3. Step 3: Cross multiply
    1,909,490,240x = 4,112,796,640 × 4,112,796,640
  4. Step 4: Simplify right side
    1,909,490,240x = 16,915,096,201,995,288,576
  5. Step 5: Solve for x
    x = 16,915,096,201,995,288,576/1,909,490,240
  6. Step 6: Final answer
    x = 8,858,435,538.27

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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.