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Finding the Third Proportional to 53,319,261,020 and 114,662,887,472

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Solution

The third proportional to 53,319,261,020 and 114,662,887,472 is: 246,582,145,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,319,261,020 : 114,662,887,472 = 114,662,887,472 : x
  2. Step 2: Convert to fraction form
    53,319,261,020/114,662,887,472 = 114,662,887,472/x
  3. Step 3: Cross multiply
    53,319,261,020x = 114,662,887,472 × 114,662,887,472
  4. Step 4: Simplify right side
    53,319,261,020x = 13,147,577,763,416,533,630,976
  5. Step 5: Solve for x
    x = 13,147,577,763,416,533,630,976/53,319,261,020
  6. Step 6: Final answer
    x = 246,582,145,211.74

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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.