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Finding the Third Proportional to 111,966,042,632 and 246,754,330,226

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Solution

The third proportional to 111,966,042,632 and 246,754,330,226 is: 543,805,050,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,966,042,632 : 246,754,330,226 = 246,754,330,226 : x
  2. Step 2: Convert to fraction form
    111,966,042,632/246,754,330,226 = 246,754,330,226/x
  3. Step 3: Cross multiply
    111,966,042,632x = 246,754,330,226 × 246,754,330,226
  4. Step 4: Simplify right side
    111,966,042,632x = 60,887,699,485,281,853,898,752
  5. Step 5: Solve for x
    x = 60,887,699,485,281,853,898,752/111,966,042,632
  6. Step 6: Final answer
    x = 543,805,050,656.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.