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Finding the Third Proportional to 856,627,714,896.15 and 1,295,958,978,504.70

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Solution

The third proportional to 856,627,714,896.15 and 1,295,958,978,504.70 is: 1,960,606,275,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,627,714,896.15 : 1,295,958,978,504.70 = 1,295,958,978,504.70 : x
  2. Step 2: Convert to fraction form
    856,627,714,896.15/1,295,958,978,504.70 = 1,295,958,978,504.70/x
  3. Step 3: Cross multiply
    856,627,714,896.15x = 1,295,958,978,504.70 × 1,295,958,978,504.70
  4. Step 4: Simplify right side
    856,627,714,896.15x = 1,679,509,673,966,945,397,899,264
  5. Step 5: Solve for x
    x = 1,679,509,673,966,945,397,899,264/856,627,714,896.15
  6. Step 6: Final answer
    x = 1,960,606,275,936.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.