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Finding the Third Proportional to 6,684,406,393,920 and 10,033,684,556,640

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Solution

The third proportional to 6,684,406,393,920 and 10,033,684,556,640 is: 15,061,146,771,944.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684,406,393,920 : 10,033,684,556,640 = 10,033,684,556,640 : x
  2. Step 2: Convert to fraction form
    6,684,406,393,920/10,033,684,556,640 = 10,033,684,556,640/x
  3. Step 3: Cross multiply
    6,684,406,393,920x = 10,033,684,556,640 × 10,033,684,556,640
  4. Step 4: Simplify right side
    6,684,406,393,920x = 100,674,825,782,156,041,314,631,680
  5. Step 5: Solve for x
    x = 100,674,825,782,156,041,314,631,680/6,684,406,393,920
  6. Step 6: Final answer
    x = 15,061,146,771,944.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.