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Finding the Third Proportional to 256,221,439,324 and 551,003,324,216

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Solution

The third proportional to 256,221,439,324 and 551,003,324,216 is: 1,184,930,754,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,221,439,324 : 551,003,324,216 = 551,003,324,216 : x
  2. Step 2: Convert to fraction form
    256,221,439,324/551,003,324,216 = 551,003,324,216/x
  3. Step 3: Cross multiply
    256,221,439,324x = 551,003,324,216 × 551,003,324,216
  4. Step 4: Simplify right side
    256,221,439,324x = 303,604,663,297,082,394,673,152
  5. Step 5: Solve for x
    x = 303,604,663,297,082,394,673,152/256,221,439,324
  6. Step 6: Final answer
    x = 1,184,930,754,030.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.