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Finding the Third Proportional to 599,433,368,130 and 1,294,406,019,165

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Solution

The third proportional to 599,433,368,130 and 1,294,406,019,165 is: 2,795,117,908,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,433,368,130 : 1,294,406,019,165 = 1,294,406,019,165 : x
  2. Step 2: Convert to fraction form
    599,433,368,130/1,294,406,019,165 = 1,294,406,019,165/x
  3. Step 3: Cross multiply
    599,433,368,130x = 1,294,406,019,165 × 1,294,406,019,165
  4. Step 4: Simplify right side
    599,433,368,130x = 1,675,486,942,450,582,416,261,120
  5. Step 5: Solve for x
    x = 1,675,486,942,450,582,416,261,120/599,433,368,130
  6. Step 6: Final answer
    x = 2,795,117,908,896.95

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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.