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Finding the Third Proportional to 779,178,414 and 1,714,190,612

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Solution

The third proportional to 779,178,414 and 1,714,190,612 is: 3,771,215,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,178,414 : 1,714,190,612 = 1,714,190,612 : x
  2. Step 2: Convert to fraction form
    779,178,414/1,714,190,612 = 1,714,190,612/x
  3. Step 3: Cross multiply
    779,178,414x = 1,714,190,612 × 1,714,190,612
  4. Step 4: Simplify right side
    779,178,414x = 2,938,449,454,268,934,656
  5. Step 5: Solve for x
    x = 2,938,449,454,268,934,656/779,178,414
  6. Step 6: Final answer
    x = 3,771,215,169.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.