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Finding the Third Proportional to 53,743,837,635 and 116,430,631,560

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Solution

The third proportional to 53,743,837,635 and 116,430,631,560 is: 252,235,280,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,743,837,635 : 116,430,631,560 = 116,430,631,560 : x
  2. Step 2: Convert to fraction form
    53,743,837,635/116,430,631,560 = 116,430,631,560/x
  3. Step 3: Cross multiply
    53,743,837,635x = 116,430,631,560 × 116,430,631,560
  4. Step 4: Simplify right side
    53,743,837,635x = 13,556,091,965,460,468,203,520
  5. Step 5: Solve for x
    x = 13,556,091,965,460,468,203,520/53,743,837,635
  6. Step 6: Final answer
    x = 252,235,280,582.80

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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.