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Finding the Third Proportional to 10,061,769 and 14,223,645

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Solution

The third proportional to 10,061,769 and 14,223,645 is: 20,107,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061,769 : 14,223,645 = 14,223,645 : x
  2. Step 2: Convert to fraction form
    10,061,769/14,223,645 = 14,223,645/x
  3. Step 3: Cross multiply
    10,061,769x = 14,223,645 × 14,223,645
  4. Step 4: Simplify right side
    10,061,769x = 202,312,077,086,025
  5. Step 5: Solve for x
    x = 202,312,077,086,025/10,061,769
  6. Step 6: Final answer
    x = 20,107,008.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.