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Finding the Third Proportional to 5,820,124 and 12,697,496

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Solution

The third proportional to 5,820,124 and 12,697,496 is: 27,701,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820,124 : 12,697,496 = 12,697,496 : x
  2. Step 2: Convert to fraction form
    5,820,124/12,697,496 = 12,697,496/x
  3. Step 3: Cross multiply
    5,820,124x = 12,697,496 × 12,697,496
  4. Step 4: Simplify right side
    5,820,124x = 161,226,404,670,016
  5. Step 5: Solve for x
    x = 161,226,404,670,016/5,820,124
  6. Step 6: Final answer
    x = 27,701,541.18

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Why These Related Problems?

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