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Finding the Third Proportional to 9,174,996 and 14,576,112

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Solution

The third proportional to 9,174,996 and 14,576,112 is: 23,156,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174,996 : 14,576,112 = 14,576,112 : x
  2. Step 2: Convert to fraction form
    9,174,996/14,576,112 = 14,576,112/x
  3. Step 3: Cross multiply
    9,174,996x = 14,576,112 × 14,576,112
  4. Step 4: Simplify right side
    9,174,996x = 212,463,041,036,544
  5. Step 5: Solve for x
    x = 212,463,041,036,544/9,174,996
  6. Step 6: Final answer
    x = 23,156,744.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.