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Finding the Third Proportional to 1,203,013,066 and 1,914,230,331

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Solution

The third proportional to 1,203,013,066 and 1,914,230,331 is: 3,045,916,843.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,013,066 : 1,914,230,331 = 1,914,230,331 : x
  2. Step 2: Convert to fraction form
    1,203,013,066/1,914,230,331 = 1,914,230,331/x
  3. Step 3: Cross multiply
    1,203,013,066x = 1,914,230,331 × 1,914,230,331
  4. Step 4: Simplify right side
    1,203,013,066x = 3,664,277,760,120,369,664
  5. Step 5: Solve for x
    x = 3,664,277,760,120,369,664/1,203,013,066
  6. Step 6: Final answer
    x = 3,045,916,843.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.