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Finding the Third Proportional to 6,898,932 and 14,512,842

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Solution

The third proportional to 6,898,932 and 14,512,842 is: 30,529,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898,932 : 14,512,842 = 14,512,842 : x
  2. Step 2: Convert to fraction form
    6,898,932/14,512,842 = 14,512,842/x
  3. Step 3: Cross multiply
    6,898,932x = 14,512,842 × 14,512,842
  4. Step 4: Simplify right side
    6,898,932x = 210,622,582,916,964
  5. Step 5: Solve for x
    x = 210,622,582,916,964/6,898,932
  6. Step 6: Final answer
    x = 30,529,737.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.