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Finding the Third Proportional to 3,407,125 and 7,412,130

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Solution

The third proportional to 3,407,125 and 7,412,130 is: 16,124,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,125 : 7,412,130 = 7,412,130 : x
  2. Step 2: Convert to fraction form
    3,407,125/7,412,130 = 7,412,130/x
  3. Step 3: Cross multiply
    3,407,125x = 7,412,130 × 7,412,130
  4. Step 4: Simplify right side
    3,407,125x = 54,939,671,136,900
  5. Step 5: Solve for x
    x = 54,939,671,136,900/3,407,125
  6. Step 6: Final answer
    x = 16,124,935.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.