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Finding the Third Proportional to 1,095,745,183 and 2,346,638,414

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Solution

The third proportional to 1,095,745,183 and 2,346,638,414 is: 5,025,540,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,745,183 : 2,346,638,414 = 2,346,638,414 : x
  2. Step 2: Convert to fraction form
    1,095,745,183/2,346,638,414 = 2,346,638,414/x
  3. Step 3: Cross multiply
    1,095,745,183x = 2,346,638,414 × 2,346,638,414
  4. Step 4: Simplify right side
    1,095,745,183x = 5,506,711,846,060,435,456
  5. Step 5: Solve for x
    x = 5,506,711,846,060,435,456/1,095,745,183
  6. Step 6: Final answer
    x = 5,025,540,546.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.