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Finding the Third Proportional to 12,861,278,034 and 27,859,702,464

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Solution

The third proportional to 12,861,278,034 and 27,859,702,464 is: 60,348,825,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861,278,034 : 27,859,702,464 = 27,859,702,464 : x
  2. Step 2: Convert to fraction form
    12,861,278,034/27,859,702,464 = 27,859,702,464/x
  3. Step 3: Cross multiply
    12,861,278,034x = 27,859,702,464 × 27,859,702,464
  4. Step 4: Simplify right side
    12,861,278,034x = 776,163,021,382,607,699,968
  5. Step 5: Solve for x
    x = 776,163,021,382,607,699,968/12,861,278,034
  6. Step 6: Final answer
    x = 60,348,825,313.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.