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Finding the Third Proportional to 45,115,776 and 95,374,728

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Solution

The third proportional to 45,115,776 and 95,374,728 is: 201,622,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,115,776 : 95,374,728 = 95,374,728 : x
  2. Step 2: Convert to fraction form
    45,115,776/95,374,728 = 95,374,728/x
  3. Step 3: Cross multiply
    45,115,776x = 95,374,728 × 95,374,728
  4. Step 4: Simplify right side
    45,115,776x = 9,096,338,741,073,984
  5. Step 5: Solve for x
    x = 9,096,338,741,073,984/45,115,776
  6. Step 6: Final answer
    x = 201,622,127.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.