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Finding the Third Proportional to 6,579,720 and 14,672,289

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Solution

The third proportional to 6,579,720 and 14,672,289 is: 32,718,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579,720 : 14,672,289 = 14,672,289 : x
  2. Step 2: Convert to fraction form
    6,579,720/14,672,289 = 14,672,289/x
  3. Step 3: Cross multiply
    6,579,720x = 14,672,289 × 14,672,289
  4. Step 4: Simplify right side
    6,579,720x = 215,276,064,499,521
  5. Step 5: Solve for x
    x = 215,276,064,499,521/6,579,720
  6. Step 6: Final answer
    x = 32,718,119.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.