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Finding the Third Proportional to 1,096,133,205 and 1,583,723,191

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Solution

The third proportional to 1,096,133,205 and 1,583,723,191 is: 2,288,206,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,133,205 : 1,583,723,191 = 1,583,723,191 : x
  2. Step 2: Convert to fraction form
    1,096,133,205/1,583,723,191 = 1,583,723,191/x
  3. Step 3: Cross multiply
    1,096,133,205x = 1,583,723,191 × 1,583,723,191
  4. Step 4: Simplify right side
    1,096,133,205x = 2,508,179,145,711,222,272
  5. Step 5: Solve for x
    x = 2,508,179,145,711,222,272/1,096,133,205
  6. Step 6: Final answer
    x = 2,288,206,519.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.