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Finding the Third Proportional to 5,688,876 and 12,046,812

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Solution

The third proportional to 5,688,876 and 12,046,812 is: 25,510,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688,876 : 12,046,812 = 12,046,812 : x
  2. Step 2: Convert to fraction form
    5,688,876/12,046,812 = 12,046,812/x
  3. Step 3: Cross multiply
    5,688,876x = 12,046,812 × 12,046,812
  4. Step 4: Simplify right side
    5,688,876x = 145,125,679,363,344
  5. Step 5: Solve for x
    x = 145,125,679,363,344/5,688,876
  6. Step 6: Final answer
    x = 25,510,431.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.