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Finding the Third Proportional to 82,018,224 and 174,637,728

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Solution

The third proportional to 82,018,224 and 174,637,728 is: 371,848,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,018,224 : 174,637,728 = 174,637,728 : x
  2. Step 2: Convert to fraction form
    82,018,224/174,637,728 = 174,637,728/x
  3. Step 3: Cross multiply
    82,018,224x = 174,637,728 × 174,637,728
  4. Step 4: Simplify right side
    82,018,224x = 30,498,336,041,001,984
  5. Step 5: Solve for x
    x = 30,498,336,041,001,984/82,018,224
  6. Step 6: Final answer
    x = 371,848,286.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.