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Finding the Third Proportional to 66,785,117,804 and 145,570,246,936

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Solution

The third proportional to 66,785,117,804 and 145,570,246,936 is: 317,296,689,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,785,117,804 : 145,570,246,936 = 145,570,246,936 : x
  2. Step 2: Convert to fraction form
    66,785,117,804/145,570,246,936 = 145,570,246,936/x
  3. Step 3: Cross multiply
    66,785,117,804x = 145,570,246,936 × 145,570,246,936
  4. Step 4: Simplify right side
    66,785,117,804x = 21,190,696,793,008,018,292,736
  5. Step 5: Solve for x
    x = 21,190,696,793,008,018,292,736/66,785,117,804
  6. Step 6: Final answer
    x = 317,296,689,588.81

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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.