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Finding the Third Proportional to 213,183,674,982 and 474,032,177,005.50

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Solution

The third proportional to 213,183,674,982 and 474,032,177,005.50 is: 1,054,051,183,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,183,674,982 : 474,032,177,005.50 = 474,032,177,005.50 : x
  2. Step 2: Convert to fraction form
    213,183,674,982/474,032,177,005.50 = 474,032,177,005.50/x
  3. Step 3: Cross multiply
    213,183,674,982x = 474,032,177,005.50 × 474,032,177,005.50
  4. Step 4: Simplify right side
    213,183,674,982x = 224,706,504,836,573,686,661,120
  5. Step 5: Solve for x
    x = 224,706,504,836,573,686,661,120/213,183,674,982
  6. Step 6: Final answer
    x = 1,054,051,183,119.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.