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Finding the Third Proportional to 27,025,425 and 41,881,968

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Solution

The third proportional to 27,025,425 and 41,881,968 is: 64,905,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,025,425 : 41,881,968 = 41,881,968 : x
  2. Step 2: Convert to fraction form
    27,025,425/41,881,968 = 41,881,968/x
  3. Step 3: Cross multiply
    27,025,425x = 41,881,968 × 41,881,968
  4. Step 4: Simplify right side
    27,025,425x = 1,754,099,243,553,024
  5. Step 5: Solve for x
    x = 1,754,099,243,553,024/27,025,425
  6. Step 6: Final answer
    x = 64,905,519.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.