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Finding the Third Proportional to 6,506,503 and 14,133,067

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Solution

The third proportional to 6,506,503 and 14,133,067 is: 30,699,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506,503 : 14,133,067 = 14,133,067 : x
  2. Step 2: Convert to fraction form
    6,506,503/14,133,067 = 14,133,067/x
  3. Step 3: Cross multiply
    6,506,503x = 14,133,067 × 14,133,067
  4. Step 4: Simplify right side
    6,506,503x = 199,743,582,826,489
  5. Step 5: Solve for x
    x = 199,743,582,826,489/6,506,503
  6. Step 6: Final answer
    x = 30,699,068.74

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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.