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Finding the Third Proportional to 349,224,844 and 760,451,144

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Solution

The third proportional to 349,224,844 and 760,451,144 is: 1,655,912,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,224,844 : 760,451,144 = 760,451,144 : x
  2. Step 2: Convert to fraction form
    349,224,844/760,451,144 = 760,451,144/x
  3. Step 3: Cross multiply
    349,224,844x = 760,451,144 × 760,451,144
  4. Step 4: Simplify right side
    349,224,844x = 578,285,942,410,908,672
  5. Step 5: Solve for x
    x = 578,285,942,410,908,672/349,224,844
  6. Step 6: Final answer
    x = 1,655,912,952.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.