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Finding the Third Proportional to 5,728,712 and 8,030,508

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Solution

The third proportional to 5,728,712 and 8,030,508 is: 11,257,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728,712 : 8,030,508 = 8,030,508 : x
  2. Step 2: Convert to fraction form
    5,728,712/8,030,508 = 8,030,508/x
  3. Step 3: Cross multiply
    5,728,712x = 8,030,508 × 8,030,508
  4. Step 4: Simplify right side
    5,728,712x = 64,489,058,738,064
  5. Step 5: Solve for x
    x = 64,489,058,738,064/5,728,712
  6. Step 6: Final answer
    x = 11,257,165.44

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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.