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Finding the Third Proportional to 9,162,747 and 18,094,209

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Solution

The third proportional to 9,162,747 and 18,094,209 is: 35,731,686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162,747 : 18,094,209 = 18,094,209 : x
  2. Step 2: Convert to fraction form
    9,162,747/18,094,209 = 18,094,209/x
  3. Step 3: Cross multiply
    9,162,747x = 18,094,209 × 18,094,209
  4. Step 4: Simplify right side
    9,162,747x = 327,400,399,335,681
  5. Step 5: Solve for x
    x = 327,400,399,335,681/9,162,747
  6. Step 6: Final answer
    x = 35,731,686.07

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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.