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Finding the Third Proportional to 255,084,355,957 and 548,024,051,474

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Solution

The third proportional to 255,084,355,957 and 548,024,051,474 is: 1,177,376,636,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,084,355,957 : 548,024,051,474 = 548,024,051,474 : x
  2. Step 2: Convert to fraction form
    255,084,355,957/548,024,051,474 = 548,024,051,474/x
  3. Step 3: Cross multiply
    255,084,355,957x = 548,024,051,474 × 548,024,051,474
  4. Step 4: Simplify right side
    255,084,355,957x = 300,330,360,993,977,410,256,896
  5. Step 5: Solve for x
    x = 300,330,360,993,977,410,256,896/255,084,355,957
  6. Step 6: Final answer
    x = 1,177,376,636,317.93

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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.