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Finding the Third Proportional to 6,579,457.88 and 14,671,749.38

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Solution

The third proportional to 6,579,457.88 and 14,671,749.38 is: 32,717,016.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579,457.88 : 14,671,749.38 = 14,671,749.38 : x
  2. Step 2: Convert to fraction form
    6,579,457.88/14,671,749.38 = 14,671,749.38/x
  3. Step 3: Cross multiply
    6,579,457.88x = 14,671,749.38 × 14,671,749.38
  4. Step 4: Simplify right side
    6,579,457.88x = 215,260,229,722,812.88
  5. Step 5: Solve for x
    x = 215,260,229,722,812.88/6,579,457.88
  6. Step 6: Final answer
    x = 32,717,016.18

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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.