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Finding the Third Proportional to 305,184,048 and 654,003,552

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Solution

The third proportional to 305,184,048 and 654,003,552 is: 1,401,517,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,184,048 : 654,003,552 = 654,003,552 : x
  2. Step 2: Convert to fraction form
    305,184,048/654,003,552 = 654,003,552/x
  3. Step 3: Cross multiply
    305,184,048x = 654,003,552 × 654,003,552
  4. Step 4: Simplify right side
    305,184,048x = 427,720,646,028,616,704
  5. Step 5: Solve for x
    x = 427,720,646,028,616,704/305,184,048
  6. Step 6: Final answer
    x = 1,401,517,047.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.