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Finding the Third Proportional to 2,500,500,256 and 5,445,352,256

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Solution

The third proportional to 2,500,500,256 and 5,445,352,256 is: 11,858,371,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500,500,256 : 5,445,352,256 = 5,445,352,256 : x
  2. Step 2: Convert to fraction form
    2,500,500,256/5,445,352,256 = 5,445,352,256/x
  3. Step 3: Cross multiply
    2,500,500,256x = 5,445,352,256 × 5,445,352,256
  4. Step 4: Simplify right side
    2,500,500,256x = 29,651,861,191,924,289,536
  5. Step 5: Solve for x
    x = 29,651,861,191,924,289,536/2,500,500,256
  6. Step 6: Final answer
    x = 11,858,371,588.15

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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.