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Finding the Third Proportional to 16,545,582,075 and 35,391,473,148

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Solution

The third proportional to 16,545,582,075 and 35,391,473,148 is: 75,703,373,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,545,582,075 : 35,391,473,148 = 35,391,473,148 : x
  2. Step 2: Convert to fraction form
    16,545,582,075/35,391,473,148 = 35,391,473,148/x
  3. Step 3: Cross multiply
    16,545,582,075x = 35,391,473,148 × 35,391,473,148
  4. Step 4: Simplify right side
    16,545,582,075x = 1,252,556,371,585,605,042,176
  5. Step 5: Solve for x
    x = 1,252,556,371,585,605,042,176/16,545,582,075
  6. Step 6: Final answer
    x = 75,703,373,015.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.