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Finding the Third Proportional to 133,184,984,309 and 273,430,492,629

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Solution

The third proportional to 133,184,984,309 and 273,430,492,629 is: 561,356,332,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,184,984,309 : 273,430,492,629 = 273,430,492,629 : x
  2. Step 2: Convert to fraction form
    133,184,984,309/273,430,492,629 = 273,430,492,629/x
  3. Step 3: Cross multiply
    133,184,984,309x = 273,430,492,629 × 273,430,492,629
  4. Step 4: Simplify right side
    133,184,984,309x = 74,764,234,299,337,626,091,520
  5. Step 5: Solve for x
    x = 74,764,234,299,337,626,091,520/133,184,984,309
  6. Step 6: Final answer
    x = 561,356,332,226.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.