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Finding the Third Proportional to 6,560,820 and 14,199,912

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Solution

The third proportional to 6,560,820 and 14,199,912 is: 30,733,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560,820 : 14,199,912 = 14,199,912 : x
  2. Step 2: Convert to fraction form
    6,560,820/14,199,912 = 14,199,912/x
  3. Step 3: Cross multiply
    6,560,820x = 14,199,912 × 14,199,912
  4. Step 4: Simplify right side
    6,560,820x = 201,637,500,807,744
  5. Step 5: Solve for x
    x = 201,637,500,807,744/6,560,820
  6. Step 6: Final answer
    x = 30,733,582.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.