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Finding the Third Proportional to 5,728,714 and 8,030,511

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Solution

The third proportional to 5,728,714 and 8,030,511 is: 11,257,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728,714 : 8,030,511 = 8,030,511 : x
  2. Step 2: Convert to fraction form
    5,728,714/8,030,511 = 8,030,511/x
  3. Step 3: Cross multiply
    5,728,714x = 8,030,511 × 8,030,511
  4. Step 4: Simplify right side
    5,728,714x = 64,489,106,921,121
  5. Step 5: Solve for x
    x = 64,489,106,921,121/5,728,714
  6. Step 6: Final answer
    x = 11,257,169.92

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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.