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Finding the Third Proportional to 255,019,887,612 and 558,080,152,062

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Solution

The third proportional to 255,019,887,612 and 558,080,152,062 is: 1,221,290,853,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,019,887,612 : 558,080,152,062 = 558,080,152,062 : x
  2. Step 2: Convert to fraction form
    255,019,887,612/558,080,152,062 = 558,080,152,062/x
  3. Step 3: Cross multiply
    255,019,887,612x = 558,080,152,062 × 558,080,152,062
  4. Step 4: Simplify right side
    255,019,887,612x = 311,453,456,125,545,016,197,120
  5. Step 5: Solve for x
    x = 311,453,456,125,545,016,197,120/255,019,887,612
  6. Step 6: Final answer
    x = 1,221,290,853,203.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.