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Finding the Third Proportional to 1,285,759,224 and 2,790,708,336

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Solution

The third proportional to 1,285,759,224 and 2,790,708,336 is: 6,057,162,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,759,224 : 2,790,708,336 = 2,790,708,336 : x
  2. Step 2: Convert to fraction form
    1,285,759,224/2,790,708,336 = 2,790,708,336/x
  3. Step 3: Cross multiply
    1,285,759,224x = 2,790,708,336 × 2,790,708,336
  4. Step 4: Simplify right side
    1,285,759,224x = 7,788,053,016,619,888,640
  5. Step 5: Solve for x
    x = 7,788,053,016,619,888,640/1,285,759,224
  6. Step 6: Final answer
    x = 6,057,162,858.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.