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Finding the Third Proportional to 11,299,917,342 and 18,606,495,789

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Solution

The third proportional to 11,299,917,342 and 18,606,495,789 is: 30,637,541,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299,917,342 : 18,606,495,789 = 18,606,495,789 : x
  2. Step 2: Convert to fraction form
    11,299,917,342/18,606,495,789 = 18,606,495,789/x
  3. Step 3: Cross multiply
    11,299,917,342x = 18,606,495,789 × 18,606,495,789
  4. Step 4: Simplify right side
    11,299,917,342x = 346,201,685,546,074,701,824
  5. Step 5: Solve for x
    x = 346,201,685,546,074,701,824/11,299,917,342
  6. Step 6: Final answer
    x = 30,637,541,414.51

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.