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Finding the Third Proportional to 53,319,261,232 and 114,662,887,900

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Solution

The third proportional to 53,319,261,232 and 114,662,887,900 is: 246,582,146,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,319,261,232 : 114,662,887,900 = 114,662,887,900 : x
  2. Step 2: Convert to fraction form
    53,319,261,232/114,662,887,900 = 114,662,887,900/x
  3. Step 3: Cross multiply
    53,319,261,232x = 114,662,887,900 × 114,662,887,900
  4. Step 4: Simplify right side
    53,319,261,232x = 13,147,577,861,567,965,822,976
  5. Step 5: Solve for x
    x = 13,147,577,861,567,965,822,976/53,319,261,232
  6. Step 6: Final answer
    x = 246,582,146,072.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.