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Finding the Third Proportional to 5,814,734 and 12,784,614

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Solution

The third proportional to 5,814,734 and 12,784,614 is: 28,108,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814,734 : 12,784,614 = 12,784,614 : x
  2. Step 2: Convert to fraction form
    5,814,734/12,784,614 = 12,784,614/x
  3. Step 3: Cross multiply
    5,814,734x = 12,784,614 × 12,784,614
  4. Step 4: Simplify right side
    5,814,734x = 163,446,355,128,996
  5. Step 5: Solve for x
    x = 163,446,355,128,996/5,814,734
  6. Step 6: Final answer
    x = 28,108,999.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.