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Finding the Third Proportional to 872,203,365 and 1,913,875,517.25

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Solution

The third proportional to 872,203,365 and 1,913,875,517.25 is: 4,199,616,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,203,365 : 1,913,875,517.25 = 1,913,875,517.25 : x
  2. Step 2: Convert to fraction form
    872,203,365/1,913,875,517.25 = 1,913,875,517.25/x
  3. Step 3: Cross multiply
    872,203,365x = 1,913,875,517.25 × 1,913,875,517.25
  4. Step 4: Simplify right side
    872,203,365x = 3,662,919,495,528,954,880
  5. Step 5: Solve for x
    x = 3,662,919,495,528,954,880/872,203,365
  6. Step 6: Final answer
    x = 4,199,616,330.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.