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Finding the Third Proportional to 6,521,029 and 14,301,770

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Solution

The third proportional to 6,521,029 and 14,301,770 is: 31,366,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521,029 : 14,301,770 = 14,301,770 : x
  2. Step 2: Convert to fraction form
    6,521,029/14,301,770 = 14,301,770/x
  3. Step 3: Cross multiply
    6,521,029x = 14,301,770 × 14,301,770
  4. Step 4: Simplify right side
    6,521,029x = 204,540,625,132,900
  5. Step 5: Solve for x
    x = 204,540,625,132,900/6,521,029
  6. Step 6: Final answer
    x = 31,366,311.23

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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.