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Finding the Third Proportional to 855,673,014 and 1,875,384,149

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Solution

The third proportional to 855,673,014 and 1,875,384,149 is: 4,110,291,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,673,014 : 1,875,384,149 = 1,875,384,149 : x
  2. Step 2: Convert to fraction form
    855,673,014/1,875,384,149 = 1,875,384,149/x
  3. Step 3: Cross multiply
    855,673,014x = 1,875,384,149 × 1,875,384,149
  4. Step 4: Simplify right side
    855,673,014x = 3,517,065,706,320,454,144
  5. Step 5: Solve for x
    x = 3,517,065,706,320,454,144/855,673,014
  6. Step 6: Final answer
    x = 4,110,291,722.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.