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Finding the Third Proportional to 3,178,944 and 6,812,424

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Solution

The third proportional to 3,178,944 and 6,812,424 is: 14,598,911.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,944 : 6,812,424 = 6,812,424 : x
  2. Step 2: Convert to fraction form
    3,178,944/6,812,424 = 6,812,424/x
  3. Step 3: Cross multiply
    3,178,944x = 6,812,424 × 6,812,424
  4. Step 4: Simplify right side
    3,178,944x = 46,409,120,755,776
  5. Step 5: Solve for x
    x = 46,409,120,755,776/3,178,944
  6. Step 6: Final answer
    x = 14,598,911.07

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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.