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Finding the Third Proportional to 221,724,613,389 and 455,203,494,465

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Solution

The third proportional to 221,724,613,389 and 455,203,494,465 is: 934,538,652,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,724,613,389 : 455,203,494,465 = 455,203,494,465 : x
  2. Step 2: Convert to fraction form
    221,724,613,389/455,203,494,465 = 455,203,494,465/x
  3. Step 3: Cross multiply
    221,724,613,389x = 455,203,494,465 × 455,203,494,465
  4. Step 4: Simplify right side
    221,724,613,389x = 207,210,221,373,147,282,669,568
  5. Step 5: Solve for x
    x = 207,210,221,373,147,282,669,568/221,724,613,389
  6. Step 6: Final answer
    x = 934,538,652,276.79

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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.