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Finding the Third Proportional to 6,500,672 and 14,000,320

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Solution

The third proportional to 6,500,672 and 14,000,320 is: 30,152,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,672 : 14,000,320 = 14,000,320 : x
  2. Step 2: Convert to fraction form
    6,500,672/14,000,320 = 14,000,320/x
  3. Step 3: Cross multiply
    6,500,672x = 14,000,320 × 14,000,320
  4. Step 4: Simplify right side
    6,500,672x = 196,008,960,102,400
  5. Step 5: Solve for x
    x = 196,008,960,102,400/6,500,672
  6. Step 6: Final answer
    x = 30,152,107.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.