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Finding the Third Proportional to 4,967,556,730 and 10,081,082,589

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Solution

The third proportional to 4,967,556,730 and 10,081,082,589 is: 20,458,392,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967,556,730 : 10,081,082,589 = 10,081,082,589 : x
  2. Step 2: Convert to fraction form
    4,967,556,730/10,081,082,589 = 10,081,082,589/x
  3. Step 3: Cross multiply
    4,967,556,730x = 10,081,082,589 × 10,081,082,589
  4. Step 4: Simplify right side
    4,967,556,730x = 101,628,226,166,238,937,088
  5. Step 5: Solve for x
    x = 101,628,226,166,238,937,088/4,967,556,730
  6. Step 6: Final answer
    x = 20,458,392,664.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.