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Finding the Third Proportional to 10,263,766 and 14,349,373

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Solution

The third proportional to 10,263,766 and 14,349,373 is: 20,061,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263,766 : 14,349,373 = 14,349,373 : x
  2. Step 2: Convert to fraction form
    10,263,766/14,349,373 = 14,349,373/x
  3. Step 3: Cross multiply
    10,263,766x = 14,349,373 × 14,349,373
  4. Step 4: Simplify right side
    10,263,766x = 205,904,505,493,129
  5. Step 5: Solve for x
    x = 205,904,505,493,129/10,263,766
  6. Step 6: Final answer
    x = 20,061,301.62

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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.