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Finding the Third Proportional to 3,029,264 and 6,484,144

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Solution

The third proportional to 3,029,264 and 6,484,144 is: 13,879,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,264 : 6,484,144 = 6,484,144 : x
  2. Step 2: Convert to fraction form
    3,029,264/6,484,144 = 6,484,144/x
  3. Step 3: Cross multiply
    3,029,264x = 6,484,144 × 6,484,144
  4. Step 4: Simplify right side
    3,029,264x = 42,044,123,412,736
  5. Step 5: Solve for x
    x = 42,044,123,412,736/3,029,264
  6. Step 6: Final answer
    x = 13,879,319.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.