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Finding the Third Proportional to 62,184,766,404 and 134,278,263,240

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Solution

The third proportional to 62,184,766,404 and 134,278,263,240 is: 289,952,877,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,184,766,404 : 134,278,263,240 = 134,278,263,240 : x
  2. Step 2: Convert to fraction form
    62,184,766,404/134,278,263,240 = 134,278,263,240/x
  3. Step 3: Cross multiply
    62,184,766,404x = 134,278,263,240 × 134,278,263,240
  4. Step 4: Simplify right side
    62,184,766,404x = 18,030,651,978,750,734,893,056
  5. Step 5: Solve for x
    x = 18,030,651,978,750,734,893,056/62,184,766,404
  6. Step 6: Final answer
    x = 289,952,877,873.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.