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Finding the Third Proportional to 690,759,161 and 1,502,546,629

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Solution

The third proportional to 690,759,161 and 1,502,546,629 is: 3,268,355,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,759,161 : 1,502,546,629 = 1,502,546,629 : x
  2. Step 2: Convert to fraction form
    690,759,161/1,502,546,629 = 1,502,546,629/x
  3. Step 3: Cross multiply
    690,759,161x = 1,502,546,629 × 1,502,546,629
  4. Step 4: Simplify right side
    690,759,161x = 2,257,646,372,319,263,744
  5. Step 5: Solve for x
    x = 2,257,646,372,319,263,744/690,759,161
  6. Step 6: Final answer
    x = 3,268,355,310.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.