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Finding the Third Proportional to 5,432,798,216 and 11,640,083,536

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Solution

The third proportional to 5,432,798,216 and 11,640,083,536 is: 24,939,550,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432,798,216 : 11,640,083,536 = 11,640,083,536 : x
  2. Step 2: Convert to fraction form
    5,432,798,216/11,640,083,536 = 11,640,083,536/x
  3. Step 3: Cross multiply
    5,432,798,216x = 11,640,083,536 × 11,640,083,536
  4. Step 4: Simplify right side
    5,432,798,216x = 135,491,544,725,058,256,896
  5. Step 5: Solve for x
    x = 135,491,544,725,058,256,896/5,432,798,216
  6. Step 6: Final answer
    x = 24,939,550,363.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.