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Finding the Third Proportional to 10,320,723 and 14,436,714

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Solution

The third proportional to 10,320,723 and 14,436,714 is: 20,194,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320,723 : 14,436,714 = 14,436,714 : x
  2. Step 2: Convert to fraction form
    10,320,723/14,436,714 = 14,436,714/x
  3. Step 3: Cross multiply
    10,320,723x = 14,436,714 × 14,436,714
  4. Step 4: Simplify right side
    10,320,723x = 208,418,711,117,796
  5. Step 5: Solve for x
    x = 208,418,711,117,796/10,320,723
  6. Step 6: Final answer
    x = 20,194,196.77

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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.