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Finding the Third Proportional to 1,581,383,313 and 2,313,863,018

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Solution

The third proportional to 1,581,383,313 and 2,313,863,018 is: 3,385,619,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,383,313 : 2,313,863,018 = 2,313,863,018 : x
  2. Step 2: Convert to fraction form
    1,581,383,313/2,313,863,018 = 2,313,863,018/x
  3. Step 3: Cross multiply
    1,581,383,313x = 2,313,863,018 × 2,313,863,018
  4. Step 4: Simplify right side
    1,581,383,313x = 5,353,962,066,068,068,352
  5. Step 5: Solve for x
    x = 5,353,962,066,068,068,352/1,581,383,313
  6. Step 6: Final answer
    x = 3,385,619,427.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.