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Finding the Third Proportional to 2,913,834 and 6,338,052

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Solution

The third proportional to 2,913,834 and 6,338,052 is: 13,786,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913,834 : 6,338,052 = 6,338,052 : x
  2. Step 2: Convert to fraction form
    2,913,834/6,338,052 = 6,338,052/x
  3. Step 3: Cross multiply
    2,913,834x = 6,338,052 × 6,338,052
  4. Step 4: Simplify right side
    2,913,834x = 40,170,903,154,704
  5. Step 5: Solve for x
    x = 40,170,903,154,704/2,913,834
  6. Step 6: Final answer
    x = 13,786,270.31

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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.