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Finding the Third Proportional to 5,053,673,628 and 10,906,401,609

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Solution

The third proportional to 5,053,673,628 and 10,906,401,609 is: 23,537,253,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053,673,628 : 10,906,401,609 = 10,906,401,609 : x
  2. Step 2: Convert to fraction form
    5,053,673,628/10,906,401,609 = 10,906,401,609/x
  3. Step 3: Cross multiply
    5,053,673,628x = 10,906,401,609 × 10,906,401,609
  4. Step 4: Simplify right side
    5,053,673,628x = 118,949,596,056,797,790,208
  5. Step 5: Solve for x
    x = 118,949,596,056,797,790,208/5,053,673,628
  6. Step 6: Final answer
    x = 23,537,253,256.28

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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.