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Finding the Third Proportional to 4,849,676 and 8,082,470

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Solution

The third proportional to 4,849,676 and 8,082,470 is: 13,470,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849,676 : 8,082,470 = 8,082,470 : x
  2. Step 2: Convert to fraction form
    4,849,676/8,082,470 = 8,082,470/x
  3. Step 3: Cross multiply
    4,849,676x = 8,082,470 × 8,082,470
  4. Step 4: Simplify right side
    4,849,676x = 65,326,321,300,900
  5. Step 5: Solve for x
    x = 65,326,321,300,900/4,849,676
  6. Step 6: Final answer
    x = 13,470,244.47

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.