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Finding the Third Proportional to 13,878,137 and 30,073,031

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Solution

The third proportional to 13,878,137 and 30,073,031 is: 65,166,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878,137 : 30,073,031 = 30,073,031 : x
  2. Step 2: Convert to fraction form
    13,878,137/30,073,031 = 30,073,031/x
  3. Step 3: Cross multiply
    13,878,137x = 30,073,031 × 30,073,031
  4. Step 4: Simplify right side
    13,878,137x = 904,387,193,526,961
  5. Step 5: Solve for x
    x = 904,387,193,526,961/13,878,137
  6. Step 6: Final answer
    x = 65,166,325.53

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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.