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Finding the Third Proportional to 53,743,837,640 and 116,430,631,576

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Solution

The third proportional to 53,743,837,640 and 116,430,631,576 is: 252,235,280,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,743,837,640 : 116,430,631,576 = 116,430,631,576 : x
  2. Step 2: Convert to fraction form
    53,743,837,640/116,430,631,576 = 116,430,631,576/x
  3. Step 3: Cross multiply
    53,743,837,640x = 116,430,631,576 × 116,430,631,576
  4. Step 4: Simplify right side
    53,743,837,640x = 13,556,091,969,186,247,475,200
  5. Step 5: Solve for x
    x = 13,556,091,969,186,247,475,200/53,743,837,640
  6. Step 6: Final answer
    x = 252,235,280,628.66

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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.