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Finding the Third Proportional to 349,243,152 and 582,036,840

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Solution

The third proportional to 349,243,152 and 582,036,840 is: 970,002,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,243,152 : 582,036,840 = 582,036,840 : x
  2. Step 2: Convert to fraction form
    349,243,152/582,036,840 = 582,036,840/x
  3. Step 3: Cross multiply
    349,243,152x = 582,036,840 × 582,036,840
  4. Step 4: Simplify right side
    349,243,152x = 338,766,883,117,185,600
  5. Step 5: Solve for x
    x = 338,766,883,117,185,600/349,243,152
  6. Step 6: Final answer
    x = 970,002,936.86

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.