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Finding the Third Proportional to 8,423,824 and 12,037,861

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Solution

The third proportional to 8,423,824 and 12,037,861 is: 17,202,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423,824 : 12,037,861 = 12,037,861 : x
  2. Step 2: Convert to fraction form
    8,423,824/12,037,861 = 12,037,861/x
  3. Step 3: Cross multiply
    8,423,824x = 12,037,861 × 12,037,861
  4. Step 4: Simplify right side
    8,423,824x = 144,910,097,455,321
  5. Step 5: Solve for x
    x = 144,910,097,455,321/8,423,824
  6. Step 6: Final answer
    x = 17,202,412.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.