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Finding the Third Proportional to 181,818,510 and 272,937,717

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Solution

The third proportional to 181,818,510 and 272,937,717 is: 409,721,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,818,510 : 272,937,717 = 272,937,717 : x
  2. Step 2: Convert to fraction form
    181,818,510/272,937,717 = 272,937,717/x
  3. Step 3: Cross multiply
    181,818,510x = 272,937,717 × 272,937,717
  4. Step 4: Simplify right side
    181,818,510x = 74,494,997,361,172,096
  5. Step 5: Solve for x
    x = 74,494,997,361,172,096/181,818,510
  6. Step 6: Final answer
    x = 409,721,745.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.