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Finding the Third Proportional to 868,314,913,638 and 1,313,640,090,006

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Solution

The third proportional to 868,314,913,638 and 1,313,640,090,006 is: 1,987,355,346,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,314,913,638 : 1,313,640,090,006 = 1,313,640,090,006 : x
  2. Step 2: Convert to fraction form
    868,314,913,638/1,313,640,090,006 = 1,313,640,090,006/x
  3. Step 3: Cross multiply
    868,314,913,638x = 1,313,640,090,006 × 1,313,640,090,006
  4. Step 4: Simplify right side
    868,314,913,638x = 1,725,650,286,070,971,821,457,408
  5. Step 5: Solve for x
    x = 1,725,650,286,070,971,821,457,408/868,314,913,638
  6. Step 6: Final answer
    x = 1,987,355,346,507.84

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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.