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Finding the Third Proportional to 4,327,266 and 6,852,114

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Solution

The third proportional to 4,327,266 and 6,852,114 is: 10,850,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327,266 : 6,852,114 = 6,852,114 : x
  2. Step 2: Convert to fraction form
    4,327,266/6,852,114 = 6,852,114/x
  3. Step 3: Cross multiply
    4,327,266x = 6,852,114 × 6,852,114
  4. Step 4: Simplify right side
    4,327,266x = 46,951,466,268,996
  5. Step 5: Solve for x
    x = 46,951,466,268,996/4,327,266
  6. Step 6: Final answer
    x = 10,850,145.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.