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Finding the Third Proportional to 13,495,407,598,016 and 20,558,859,115,264

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Solution

The third proportional to 13,495,407,598,016 and 20,558,859,115,264 is: 31,319,297,698,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495,407,598,016 : 20,558,859,115,264 = 20,558,859,115,264 : x
  2. Step 2: Convert to fraction form
    13,495,407,598,016/20,558,859,115,264 = 20,558,859,115,264/x
  3. Step 3: Cross multiply
    13,495,407,598,016x = 20,558,859,115,264 × 20,558,859,115,264
  4. Step 4: Simplify right side
    13,495,407,598,016x = 422,666,688,121,273,665,370,193,920
  5. Step 5: Solve for x
    x = 422,666,688,121,273,665,370,193,920/13,495,407,598,016
  6. Step 6: Final answer
    x = 31,319,297,698,234.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.