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Finding the Third Proportional to 1,290,311,644 and 2,831,445,800

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Solution

The third proportional to 1,290,311,644 and 2,831,445,800 is: 6,213,293,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,311,644 : 2,831,445,800 = 2,831,445,800 : x
  2. Step 2: Convert to fraction form
    1,290,311,644/2,831,445,800 = 2,831,445,800/x
  3. Step 3: Cross multiply
    1,290,311,644x = 2,831,445,800 × 2,831,445,800
  4. Step 4: Simplify right side
    1,290,311,644x = 8,017,085,318,337,640,448
  5. Step 5: Solve for x
    x = 8,017,085,318,337,640,448/1,290,311,644
  6. Step 6: Final answer
    x = 6,213,293,784.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.