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Finding the Third Proportional to 39,318,664,862 and 86,651,725,774

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Solution

The third proportional to 39,318,664,862 and 86,651,725,774 is: 190,965,832,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,318,664,862 : 86,651,725,774 = 86,651,725,774 : x
  2. Step 2: Convert to fraction form
    39,318,664,862/86,651,725,774 = 86,651,725,774/x
  3. Step 3: Cross multiply
    39,318,664,862x = 86,651,725,774 × 86,651,725,774
  4. Step 4: Simplify right side
    39,318,664,862x = 7,508,521,579,612,495,413,248
  5. Step 5: Solve for x
    x = 7,508,521,579,612,495,413,248/39,318,664,862
  6. Step 6: Final answer
    x = 190,965,832,791.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.