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Finding the Third Proportional to 5,550,308,963 and 11,985,240,916

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Solution

The third proportional to 5,550,308,963 and 11,985,240,916 is: 25,880,721,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,550,308,963 : 11,985,240,916 = 11,985,240,916 : x
  2. Step 2: Convert to fraction form
    5,550,308,963/11,985,240,916 = 11,985,240,916/x
  3. Step 3: Cross multiply
    5,550,308,963x = 11,985,240,916 × 11,985,240,916
  4. Step 4: Simplify right side
    5,550,308,963x = 143,645,999,814,560,514,048
  5. Step 5: Solve for x
    x = 143,645,999,814,560,514,048/5,550,308,963
  6. Step 6: Final answer
    x = 25,880,721,374.64

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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.