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Finding the Third Proportional to 6,269,304 and 9,566,106

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Solution

The third proportional to 6,269,304 and 9,566,106 is: 14,596,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269,304 : 9,566,106 = 9,566,106 : x
  2. Step 2: Convert to fraction form
    6,269,304/9,566,106 = 9,566,106/x
  3. Step 3: Cross multiply
    6,269,304x = 9,566,106 × 9,566,106
  4. Step 4: Simplify right side
    6,269,304x = 91,510,384,003,236
  5. Step 5: Solve for x
    x = 91,510,384,003,236/6,269,304
  6. Step 6: Final answer
    x = 14,596,577.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.