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Finding the Third Proportional to 351,351,520 and 763,186,224

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Solution

The third proportional to 351,351,520 and 763,186,224 is: 1,657,750,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,351,520 : 763,186,224 = 763,186,224 : x
  2. Step 2: Convert to fraction form
    351,351,520/763,186,224 = 763,186,224/x
  3. Step 3: Cross multiply
    351,351,520x = 763,186,224 × 763,186,224
  4. Step 4: Simplify right side
    351,351,520x = 582,453,212,503,378,176
  5. Step 5: Solve for x
    x = 582,453,212,503,378,176/351,351,520
  6. Step 6: Final answer
    x = 1,657,750,655.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.