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Finding the Third Proportional to 2,707,289,880 and 3,652,769,700

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Solution

The third proportional to 2,707,289,880 and 3,652,769,700 is: 4,928,443,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707,289,880 : 3,652,769,700 = 3,652,769,700 : x
  2. Step 2: Convert to fraction form
    2,707,289,880/3,652,769,700 = 3,652,769,700/x
  3. Step 3: Cross multiply
    2,707,289,880x = 3,652,769,700 × 3,652,769,700
  4. Step 4: Simplify right side
    2,707,289,880x = 13,342,726,481,238,089,728
  5. Step 5: Solve for x
    x = 13,342,726,481,238,089,728/2,707,289,880
  6. Step 6: Final answer
    x = 4,928,443,968.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.