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Finding the Third Proportional to 1,218,457,760 and 1,856,255,662

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Solution

The third proportional to 1,218,457,760 and 1,856,255,662 is: 2,827,906,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,457,760 : 1,856,255,662 = 1,856,255,662 : x
  2. Step 2: Convert to fraction form
    1,218,457,760/1,856,255,662 = 1,856,255,662/x
  3. Step 3: Cross multiply
    1,218,457,760x = 1,856,255,662 × 1,856,255,662
  4. Step 4: Simplify right side
    1,218,457,760x = 3,445,685,082,707,058,176
  5. Step 5: Solve for x
    x = 3,445,685,082,707,058,176/1,218,457,760
  6. Step 6: Final answer
    x = 2,827,906,880.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.