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Finding the Third Proportional to 3,130,535,223 and 6,823,566,299.25

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Solution

The third proportional to 3,130,535,223 and 6,823,566,299.25 is: 14,873,193,790.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,535,223 : 6,823,566,299.25 = 6,823,566,299.25 : x
  2. Step 2: Convert to fraction form
    3,130,535,223/6,823,566,299.25 = 6,823,566,299.25/x
  3. Step 3: Cross multiply
    3,130,535,223x = 6,823,566,299.25 × 6,823,566,299.25
  4. Step 4: Simplify right side
    3,130,535,223x = 46,561,057,040,260,341,760
  5. Step 5: Solve for x
    x = 46,561,057,040,260,341,760/3,130,535,223
  6. Step 6: Final answer
    x = 14,873,193,790.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.