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Finding the Third Proportional to 43,785,072,504 and 95,595,967,314

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Solution

The third proportional to 43,785,072,504 and 95,595,967,314 is: 208,714,715,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,785,072,504 : 95,595,967,314 = 95,595,967,314 : x
  2. Step 2: Convert to fraction form
    43,785,072,504/95,595,967,314 = 95,595,967,314/x
  3. Step 3: Cross multiply
    43,785,072,504x = 95,595,967,314 × 95,595,967,314
  4. Step 4: Simplify right side
    43,785,072,504x = 9,138,588,966,699,356,127,232
  5. Step 5: Solve for x
    x = 9,138,588,966,699,356,127,232/43,785,072,504
  6. Step 6: Final answer
    x = 208,714,715,862.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.