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Finding the Third Proportional to 3,192,514,954,963 and 6,611,326,539,636

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Solution

The third proportional to 3,192,514,954,963 and 6,611,326,539,636 is: 13,691,287,035,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192,514,954,963 : 6,611,326,539,636 = 6,611,326,539,636 : x
  2. Step 2: Convert to fraction form
    3,192,514,954,963/6,611,326,539,636 = 6,611,326,539,636/x
  3. Step 3: Cross multiply
    3,192,514,954,963x = 6,611,326,539,636 × 6,611,326,539,636
  4. Step 4: Simplify right side
    3,192,514,954,963x = 43,709,638,613,695,323,686,567,936
  5. Step 5: Solve for x
    x = 43,709,638,613,695,323,686,567,936/3,192,514,954,963
  6. Step 6: Final answer
    x = 13,691,287,035,553.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.