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Finding the Third Proportional to 9,716,338 and 14,520,956

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Solution

The third proportional to 9,716,338 and 14,520,956 is: 21,701,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716,338 : 14,520,956 = 14,520,956 : x
  2. Step 2: Convert to fraction form
    9,716,338/14,520,956 = 14,520,956/x
  3. Step 3: Cross multiply
    9,716,338x = 14,520,956 × 14,520,956
  4. Step 4: Simplify right side
    9,716,338x = 210,858,163,153,936
  5. Step 5: Solve for x
    x = 210,858,163,153,936/9,716,338
  6. Step 6: Final answer
    x = 21,701,402.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.