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Finding the Third Proportional to 599,433,368,121 and 1,294,406,019,147

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Solution

The third proportional to 599,433,368,121 and 1,294,406,019,147 is: 2,795,117,908,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,433,368,121 : 1,294,406,019,147 = 1,294,406,019,147 : x
  2. Step 2: Convert to fraction form
    599,433,368,121/1,294,406,019,147 = 1,294,406,019,147/x
  3. Step 3: Cross multiply
    599,433,368,121x = 1,294,406,019,147 × 1,294,406,019,147
  4. Step 4: Simplify right side
    599,433,368,121x = 1,675,486,942,403,983,631,712,256
  5. Step 5: Solve for x
    x = 1,675,486,942,403,983,631,712,256/599,433,368,121
  6. Step 6: Final answer
    x = 2,795,117,908,861.18

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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.