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Finding the Third Proportional to 909,967,576 and 1,960,102,712

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Solution

The third proportional to 909,967,576 and 1,960,102,712 is: 4,222,131,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,967,576 : 1,960,102,712 = 1,960,102,712 : x
  2. Step 2: Convert to fraction form
    909,967,576/1,960,102,712 = 1,960,102,712/x
  3. Step 3: Cross multiply
    909,967,576x = 1,960,102,712 × 1,960,102,712
  4. Step 4: Simplify right side
    909,967,576x = 3,842,002,641,589,754,880
  5. Step 5: Solve for x
    x = 3,842,002,641,589,754,880/909,967,576
  6. Step 6: Final answer
    x = 4,222,131,362.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.