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Finding the Third Proportional to 2,401,135,200 and 5,203,028,428

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Solution

The third proportional to 2,401,135,200 and 5,203,028,428 is: 11,274,460,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401,135,200 : 5,203,028,428 = 5,203,028,428 : x
  2. Step 2: Convert to fraction form
    2,401,135,200/5,203,028,428 = 5,203,028,428/x
  3. Step 3: Cross multiply
    2,401,135,200x = 5,203,028,428 × 5,203,028,428
  4. Step 4: Simplify right side
    2,401,135,200x = 27,071,504,822,576,152,576
  5. Step 5: Solve for x
    x = 27,071,504,822,576,152,576/2,401,135,200
  6. Step 6: Final answer
    x = 11,274,460,856.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.