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Finding the Third Proportional to 2,781,333.19 and 5,775,831.38

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Solution

The third proportional to 2,781,333.19 and 5,775,831.38 is: 11,994,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,333.19 : 5,775,831.38 = 5,775,831.38 : x
  2. Step 2: Convert to fraction form
    2,781,333.19/5,775,831.38 = 5,775,831.38/x
  3. Step 3: Cross multiply
    2,781,333.19x = 5,775,831.38 × 5,775,831.38
  4. Step 4: Simplify right side
    2,781,333.19x = 33,360,228,072,434.39
  5. Step 5: Solve for x
    x = 33,360,228,072,434.39/2,781,333.19
  6. Step 6: Final answer
    x = 11,994,329.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.