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Finding the Third Proportional to 2,942,230 and 6,348,928

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Solution

The third proportional to 2,942,230 and 6,348,928 is: 13,700,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,230 : 6,348,928 = 6,348,928 : x
  2. Step 2: Convert to fraction form
    2,942,230/6,348,928 = 6,348,928/x
  3. Step 3: Cross multiply
    2,942,230x = 6,348,928 × 6,348,928
  4. Step 4: Simplify right side
    2,942,230x = 40,308,886,749,184
  5. Step 5: Solve for x
    x = 40,308,886,749,184/2,942,230
  6. Step 6: Final answer
    x = 13,700,114.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.