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Finding the Third Proportional to 53,319,260,976 and 114,662,887,392

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Solution

The third proportional to 53,319,260,976 and 114,662,887,392 is: 246,582,145,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,319,260,976 : 114,662,887,392 = 114,662,887,392 : x
  2. Step 2: Convert to fraction form
    53,319,260,976/114,662,887,392 = 114,662,887,392/x
  3. Step 3: Cross multiply
    53,319,260,976x = 114,662,887,392 × 114,662,887,392
  4. Step 4: Simplify right side
    53,319,260,976x = 13,147,577,745,070,471,774,208
  5. Step 5: Solve for x
    x = 13,147,577,745,070,471,774,208/53,319,260,976
  6. Step 6: Final answer
    x = 246,582,145,071.15

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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.