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Finding the Third Proportional to 2,801,822,706 and 4,118,414,274

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Solution

The third proportional to 2,801,822,706 and 4,118,414,274 is: 6,053,679,305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801,822,706 : 4,118,414,274 = 4,118,414,274 : x
  2. Step 2: Convert to fraction form
    2,801,822,706/4,118,414,274 = 4,118,414,274/x
  3. Step 3: Cross multiply
    2,801,822,706x = 4,118,414,274 × 4,118,414,274
  4. Step 4: Simplify right side
    2,801,822,706x = 16,961,336,132,286,947,328
  5. Step 5: Solve for x
    x = 16,961,336,132,286,947,328/2,801,822,706
  6. Step 6: Final answer
    x = 6,053,679,305.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.