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Finding the Third Proportional to 6,532,064 and 14,185,808

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Solution

The third proportional to 6,532,064 and 14,185,808 is: 30,807,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532,064 : 14,185,808 = 14,185,808 : x
  2. Step 2: Convert to fraction form
    6,532,064/14,185,808 = 14,185,808/x
  3. Step 3: Cross multiply
    6,532,064x = 14,185,808 × 14,185,808
  4. Step 4: Simplify right side
    6,532,064x = 201,237,148,612,864
  5. Step 5: Solve for x
    x = 201,237,148,612,864/6,532,064
  6. Step 6: Final answer
    x = 30,807,589.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.