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Finding the Third Proportional to 1,885,353,662 and 4,097,046,544

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Solution

The third proportional to 1,885,353,662 and 4,097,046,544 is: 8,903,258,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885,353,662 : 4,097,046,544 = 4,097,046,544 : x
  2. Step 2: Convert to fraction form
    1,885,353,662/4,097,046,544 = 4,097,046,544/x
  3. Step 3: Cross multiply
    1,885,353,662x = 4,097,046,544 × 4,097,046,544
  4. Step 4: Simplify right side
    1,885,353,662x = 16,785,790,383,702,343,680
  5. Step 5: Solve for x
    x = 16,785,790,383,702,343,680/1,885,353,662
  6. Step 6: Final answer
    x = 8,903,258,164.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.