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Finding the Third Proportional to 6,684,406,393,921 and 10,033,684,556,642

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Solution

The third proportional to 6,684,406,393,921 and 10,033,684,556,642 is: 15,061,146,771,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684,406,393,921 : 10,033,684,556,642 = 10,033,684,556,642 : x
  2. Step 2: Convert to fraction form
    6,684,406,393,921/10,033,684,556,642 = 10,033,684,556,642/x
  3. Step 3: Cross multiply
    6,684,406,393,921x = 10,033,684,556,642 × 10,033,684,556,642
  4. Step 4: Simplify right side
    6,684,406,393,921x = 100,674,825,782,196,173,489,045,504
  5. Step 5: Solve for x
    x = 100,674,825,782,196,173,489,045,504/6,684,406,393,921
  6. Step 6: Final answer
    x = 15,061,146,771,948.65

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