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Finding the Third Proportional to 349,224,837 and 760,451,118

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Solution

The third proportional to 349,224,837 and 760,451,118 is: 1,655,912,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,224,837 : 760,451,118 = 760,451,118 : x
  2. Step 2: Convert to fraction form
    349,224,837/760,451,118 = 760,451,118/x
  3. Step 3: Cross multiply
    349,224,837x = 760,451,118 × 760,451,118
  4. Step 4: Simplify right side
    349,224,837x = 578,285,902,867,449,984
  5. Step 5: Solve for x
    x = 578,285,902,867,449,984/349,224,837
  6. Step 6: Final answer
    x = 1,655,912,872.16

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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.