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Finding the Third Proportional to 863,672,609.81 and 1,864,967,682.38

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Solution

The third proportional to 863,672,609.81 and 1,864,967,682.38 is: 4,027,109,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,672,609.81 : 1,864,967,682.38 = 1,864,967,682.38 : x
  2. Step 2: Convert to fraction form
    863,672,609.81/1,864,967,682.38 = 1,864,967,682.38/x
  3. Step 3: Cross multiply
    863,672,609.81x = 1,864,967,682.38 × 1,864,967,682.38
  4. Step 4: Simplify right side
    863,672,609.81x = 3,478,104,456,303,178,752
  5. Step 5: Solve for x
    x = 3,478,104,456,303,178,752/863,672,609.81
  6. Step 6: Final answer
    x = 4,027,109,829.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.