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Finding the Third Proportional to 12,366,398 and 17,088,025

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Solution

The third proportional to 12,366,398 and 17,088,025 is: 23,612,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366,398 : 17,088,025 = 17,088,025 : x
  2. Step 2: Convert to fraction form
    12,366,398/17,088,025 = 17,088,025/x
  3. Step 3: Cross multiply
    12,366,398x = 17,088,025 × 17,088,025
  4. Step 4: Simplify right side
    12,366,398x = 292,000,598,400,625
  5. Step 5: Solve for x
    x = 292,000,598,400,625/12,366,398
  6. Step 6: Final answer
    x = 23,612,421.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.