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Finding the Third Proportional to 2,401,135,392 and 5,203,028,768

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Solution

The third proportional to 2,401,135,392 and 5,203,028,768 is: 11,274,461,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401,135,392 : 5,203,028,768 = 5,203,028,768 : x
  2. Step 2: Convert to fraction form
    2,401,135,392/5,203,028,768 = 5,203,028,768/x
  3. Step 3: Cross multiply
    2,401,135,392x = 5,203,028,768 × 5,203,028,768
  4. Step 4: Simplify right side
    2,401,135,392x = 27,071,508,360,635,596,800
  5. Step 5: Solve for x
    x = 27,071,508,360,635,596,800/2,401,135,392
  6. Step 6: Final answer
    x = 11,274,461,428.05

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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.