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Finding the Third Proportional to 9,229,002 and 14,327,208

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Solution

The third proportional to 9,229,002 and 14,327,208 is: 22,241,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229,002 : 14,327,208 = 14,327,208 : x
  2. Step 2: Convert to fraction form
    9,229,002/14,327,208 = 14,327,208/x
  3. Step 3: Cross multiply
    9,229,002x = 14,327,208 × 14,327,208
  4. Step 4: Simplify right side
    9,229,002x = 205,268,889,075,264
  5. Step 5: Solve for x
    x = 205,268,889,075,264/9,229,002
  6. Step 6: Final answer
    x = 22,241,721.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.