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Finding the Third Proportional to 10,269,462 and 14,356,614

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Solution

The third proportional to 10,269,462 and 14,356,614 is: 20,070,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269,462 : 14,356,614 = 14,356,614 : x
  2. Step 2: Convert to fraction form
    10,269,462/14,356,614 = 14,356,614/x
  3. Step 3: Cross multiply
    10,269,462x = 14,356,614 × 14,356,614
  4. Step 4: Simplify right side
    10,269,462x = 206,112,365,544,996
  5. Step 5: Solve for x
    x = 206,112,365,544,996/10,269,462
  6. Step 6: Final answer
    x = 20,070,415.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.