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Finding the Third Proportional to 2,422,965,911 and 5,270,457,683

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Solution

The third proportional to 2,422,965,911 and 5,270,457,683 is: 11,464,347,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,965,911 : 5,270,457,683 = 5,270,457,683 : x
  2. Step 2: Convert to fraction form
    2,422,965,911/5,270,457,683 = 5,270,457,683/x
  3. Step 3: Cross multiply
    2,422,965,911x = 5,270,457,683 × 5,270,457,683
  4. Step 4: Simplify right side
    2,422,965,911x = 27,777,724,188,293,730,304
  5. Step 5: Solve for x
    x = 27,777,724,188,293,730,304/2,422,965,911
  6. Step 6: Final answer
    x = 11,464,347,914.34

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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.