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Finding the Third Proportional to 6,812,064 and 11,352,960

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Solution

The third proportional to 6,812,064 and 11,352,960 is: 18,920,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812,064 : 11,352,960 = 11,352,960 : x
  2. Step 2: Convert to fraction form
    6,812,064/11,352,960 = 11,352,960/x
  3. Step 3: Cross multiply
    6,812,064x = 11,352,960 × 11,352,960
  4. Step 4: Simplify right side
    6,812,064x = 128,889,700,761,600
  5. Step 5: Solve for x
    x = 128,889,700,761,600/6,812,064
  6. Step 6: Final answer
    x = 18,920,800.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.