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Finding the Third Proportional to 868,314,913,629.15 and 1,313,640,089,993.90

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Solution

The third proportional to 868,314,913,629.15 and 1,313,640,089,993.90 is: 1,987,355,346,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,314,913,629.15 : 1,313,640,089,993.90 = 1,313,640,089,993.90 : x
  2. Step 2: Convert to fraction form
    868,314,913,629.15/1,313,640,089,993.90 = 1,313,640,089,993.90/x
  3. Step 3: Cross multiply
    868,314,913,629.15x = 1,313,640,089,993.90 × 1,313,640,089,993.90
  4. Step 4: Simplify right side
    868,314,913,629.15x = 1,725,650,286,039,181,547,274,240
  5. Step 5: Solve for x
    x = 1,725,650,286,039,181,547,274,240/868,314,913,629.15
  6. Step 6: Final answer
    x = 1,987,355,346,491.48

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