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Finding the Third Proportional to 6,509,424 and 13,915,620

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Solution

The third proportional to 6,509,424 and 13,915,620 is: 29,748,327.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,424 : 13,915,620 = 13,915,620 : x
  2. Step 2: Convert to fraction form
    6,509,424/13,915,620 = 13,915,620/x
  3. Step 3: Cross multiply
    6,509,424x = 13,915,620 × 13,915,620
  4. Step 4: Simplify right side
    6,509,424x = 193,644,479,984,400
  5. Step 5: Solve for x
    x = 193,644,479,984,400/6,509,424
  6. Step 6: Final answer
    x = 29,748,327.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.