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Finding the Third Proportional to 590,372,605.13 and 1,366,749,902.25

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Solution

The third proportional to 590,372,605.13 and 1,366,749,902.25 is: 3,164,112,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,372,605.13 : 1,366,749,902.25 = 1,366,749,902.25 : x
  2. Step 2: Convert to fraction form
    590,372,605.13/1,366,749,902.25 = 1,366,749,902.25/x
  3. Step 3: Cross multiply
    590,372,605.13x = 1,366,749,902.25 × 1,366,749,902.25
  4. Step 4: Simplify right side
    590,372,605.13x = 1,868,005,295,300,384,512
  5. Step 5: Solve for x
    x = 1,868,005,295,300,384,512/590,372,605.13
  6. Step 6: Final answer
    x = 3,164,112,425.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.