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Finding the Third Proportional to 11,515,000,142 and 17,691,525,075

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Solution

The third proportional to 11,515,000,142 and 17,691,525,075 is: 27,181,073,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515,000,142 : 17,691,525,075 = 17,691,525,075 : x
  2. Step 2: Convert to fraction form
    11,515,000,142/17,691,525,075 = 17,691,525,075/x
  3. Step 3: Cross multiply
    11,515,000,142x = 17,691,525,075 × 17,691,525,075
  4. Step 4: Simplify right side
    11,515,000,142x = 312,990,059,479,353,786,368
  5. Step 5: Solve for x
    x = 312,990,059,479,353,786,368/11,515,000,142
  6. Step 6: Final answer
    x = 27,181,073,002.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.