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Finding the Third Proportional to 256,221,438,961.50 and 551,003,323,464

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Solution

The third proportional to 256,221,438,961.50 and 551,003,323,464 is: 1,184,930,752,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,221,438,961.50 : 551,003,323,464 = 551,003,323,464 : x
  2. Step 2: Convert to fraction form
    256,221,438,961.50/551,003,323,464 = 551,003,323,464/x
  3. Step 3: Cross multiply
    256,221,438,961.50x = 551,003,323,464 × 551,003,323,464
  4. Step 4: Simplify right side
    256,221,438,961.50x = 303,604,662,468,373,420,965,888
  5. Step 5: Solve for x
    x = 303,604,662,468,373,420,965,888/256,221,438,961.50
  6. Step 6: Final answer
    x = 1,184,930,752,473.03

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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.