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Finding the Third Proportional to 255,019,887,616 and 558,080,152,070

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Solution

The third proportional to 255,019,887,616 and 558,080,152,070 is: 1,221,290,853,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,019,887,616 : 558,080,152,070 = 558,080,152,070 : x
  2. Step 2: Convert to fraction form
    255,019,887,616/558,080,152,070 = 558,080,152,070/x
  3. Step 3: Cross multiply
    255,019,887,616x = 558,080,152,070 × 558,080,152,070
  4. Step 4: Simplify right side
    255,019,887,616x = 311,453,456,134,474,320,314,368
  5. Step 5: Solve for x
    x = 311,453,456,134,474,320,314,368/255,019,887,616
  6. Step 6: Final answer
    x = 1,221,290,853,219.46

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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.