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Finding the Third Proportional to 6,521,029.50 and 14,301,771

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Solution

The third proportional to 6,521,029.50 and 14,301,771 is: 31,366,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521,029.50 : 14,301,771 = 14,301,771 : x
  2. Step 2: Convert to fraction form
    6,521,029.50/14,301,771 = 14,301,771/x
  3. Step 3: Cross multiply
    6,521,029.50x = 14,301,771 × 14,301,771
  4. Step 4: Simplify right side
    6,521,029.50x = 204,540,653,736,441
  5. Step 5: Solve for x
    x = 204,540,653,736,441/6,521,029.50
  6. Step 6: Final answer
    x = 31,366,313.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.