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Finding the Third Proportional to 7,242,023 and 10,863,197

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Solution

The third proportional to 7,242,023 and 10,863,197 is: 16,295,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242,023 : 10,863,197 = 10,863,197 : x
  2. Step 2: Convert to fraction form
    7,242,023/10,863,197 = 10,863,197/x
  3. Step 3: Cross multiply
    7,242,023x = 10,863,197 × 10,863,197
  4. Step 4: Simplify right side
    7,242,023x = 118,009,049,060,809
  5. Step 5: Solve for x
    x = 118,009,049,060,809/7,242,023
  6. Step 6: Final answer
    x = 16,295,039.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.