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Finding the Third Proportional to 5,053,673,629 and 10,906,401,611

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Solution

The third proportional to 5,053,673,629 and 10,906,401,611 is: 23,537,253,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053,673,629 : 10,906,401,611 = 10,906,401,611 : x
  2. Step 2: Convert to fraction form
    5,053,673,629/10,906,401,611 = 10,906,401,611/x
  3. Step 3: Cross multiply
    5,053,673,629x = 10,906,401,611 × 10,906,401,611
  4. Step 4: Simplify right side
    5,053,673,629x = 118,949,596,100,423,401,472
  5. Step 5: Solve for x
    x = 118,949,596,100,423,401,472/5,053,673,629
  6. Step 6: Final answer
    x = 23,537,253,260.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.