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Finding the Third Proportional to 4,065,392 and 8,027,968

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Solution

The third proportional to 4,065,392 and 8,027,968 is: 15,852,904.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065,392 : 8,027,968 = 8,027,968 : x
  2. Step 2: Convert to fraction form
    4,065,392/8,027,968 = 8,027,968/x
  3. Step 3: Cross multiply
    4,065,392x = 8,027,968 × 8,027,968
  4. Step 4: Simplify right side
    4,065,392x = 64,448,270,209,024
  5. Step 5: Solve for x
    x = 64,448,270,209,024/4,065,392
  6. Step 6: Final answer
    x = 15,852,904.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.