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Finding the Third Proportional to 13,878,576 and 30,073,914

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Solution

The third proportional to 13,878,576 and 30,073,914 is: 65,168,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878,576 : 30,073,914 = 30,073,914 : x
  2. Step 2: Convert to fraction form
    13,878,576/30,073,914 = 30,073,914/x
  3. Step 3: Cross multiply
    13,878,576x = 30,073,914 × 30,073,914
  4. Step 4: Simplify right side
    13,878,576x = 904,440,303,279,396
  5. Step 5: Solve for x
    x = 904,440,303,279,396/13,878,576
  6. Step 6: Final answer
    x = 65,168,090.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.