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Finding the Third Proportional to 6,475,678 and 14,123,303

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Solution

The third proportional to 6,475,678 and 14,123,303 is: 30,802,595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,678 : 14,123,303 = 14,123,303 : x
  2. Step 2: Convert to fraction form
    6,475,678/14,123,303 = 14,123,303/x
  3. Step 3: Cross multiply
    6,475,678x = 14,123,303 × 14,123,303
  4. Step 4: Simplify right side
    6,475,678x = 199,467,687,629,809
  5. Step 5: Solve for x
    x = 199,467,687,629,809/6,475,678
  6. Step 6: Final answer
    x = 30,802,595.13

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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.