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Finding the Third Proportional to 6,384,840 and 9,643,536

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Solution

The third proportional to 6,384,840 and 9,643,536 is: 14,565,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384,840 : 9,643,536 = 9,643,536 : x
  2. Step 2: Convert to fraction form
    6,384,840/9,643,536 = 9,643,536/x
  3. Step 3: Cross multiply
    6,384,840x = 9,643,536 × 9,643,536
  4. Step 4: Simplify right side
    6,384,840x = 92,997,786,583,296
  5. Step 5: Solve for x
    x = 92,997,786,583,296/6,384,840
  6. Step 6: Final answer
    x = 14,565,405.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.