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Finding the Third Proportional to 6,769,376 and 14,098,624

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Solution

The third proportional to 6,769,376 and 14,098,624 is: 29,363,297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769,376 : 14,098,624 = 14,098,624 : x
  2. Step 2: Convert to fraction form
    6,769,376/14,098,624 = 14,098,624/x
  3. Step 3: Cross multiply
    6,769,376x = 14,098,624 × 14,098,624
  4. Step 4: Simplify right side
    6,769,376x = 198,771,198,693,376
  5. Step 5: Solve for x
    x = 198,771,198,693,376/6,769,376
  6. Step 6: Final answer
    x = 29,363,297.10

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.