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Finding the Third Proportional to 5,082,831,909 and 7,429,184,415

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Solution

The third proportional to 5,082,831,909 and 7,429,184,415 is: 10,858,667,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082,831,909 : 7,429,184,415 = 7,429,184,415 : x
  2. Step 2: Convert to fraction form
    5,082,831,909/7,429,184,415 = 7,429,184,415/x
  3. Step 3: Cross multiply
    5,082,831,909x = 7,429,184,415 × 7,429,184,415
  4. Step 4: Simplify right side
    5,082,831,909x = 55,192,781,072,078,888,960
  5. Step 5: Solve for x
    x = 55,192,781,072,078,888,960/5,082,831,909
  6. Step 6: Final answer
    x = 10,858,667,384.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.