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Finding the Third Proportional to 483,610,069 and 1,049,327,771

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Solution

The third proportional to 483,610,069 and 1,049,327,771 is: 2,276,811,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,610,069 : 1,049,327,771 = 1,049,327,771 : x
  2. Step 2: Convert to fraction form
    483,610,069/1,049,327,771 = 1,049,327,771/x
  3. Step 3: Cross multiply
    483,610,069x = 1,049,327,771 × 1,049,327,771
  4. Step 4: Simplify right side
    483,610,069x = 1,101,088,770,991,828,480
  5. Step 5: Solve for x
    x = 1,101,088,770,991,828,480/483,610,069
  6. Step 6: Final answer
    x = 2,276,811,095.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.