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Finding the Third Proportional to 6,483,684 and 14,109,000

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Solution

The third proportional to 6,483,684 and 14,109,000 is: 30,702,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483,684 : 14,109,000 = 14,109,000 : x
  2. Step 2: Convert to fraction form
    6,483,684/14,109,000 = 14,109,000/x
  3. Step 3: Cross multiply
    6,483,684x = 14,109,000 × 14,109,000
  4. Step 4: Simplify right side
    6,483,684x = 199,063,881,000,000
  5. Step 5: Solve for x
    x = 199,063,881,000,000/6,483,684
  6. Step 6: Final answer
    x = 30,702,279.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.