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Finding the Third Proportional to 868,314,913,638.20 and 1,313,640,090,007.30

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Solution

The third proportional to 868,314,913,638.20 and 1,313,640,090,007.30 is: 1,987,355,346,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,314,913,638.20 : 1,313,640,090,007.30 = 1,313,640,090,007.30 : x
  2. Step 2: Convert to fraction form
    868,314,913,638.20/1,313,640,090,007.30 = 1,313,640,090,007.30/x
  3. Step 3: Cross multiply
    868,314,913,638.20x = 1,313,640,090,007.30 × 1,313,640,090,007.30
  4. Step 4: Simplify right side
    868,314,913,638.20x = 1,725,650,286,074,387,394,199,552
  5. Step 5: Solve for x
    x = 1,725,650,286,074,387,394,199,552/868,314,913,638.20
  6. Step 6: Final answer
    x = 1,987,355,346,511.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.