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Finding the Third Proportional to 7,178,082 and 10,772,372

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Solution

The third proportional to 7,178,082 and 10,772,372 is: 16,166,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178,082 : 10,772,372 = 10,772,372 : x
  2. Step 2: Convert to fraction form
    7,178,082/10,772,372 = 10,772,372/x
  3. Step 3: Cross multiply
    7,178,082x = 10,772,372 × 10,772,372
  4. Step 4: Simplify right side
    7,178,082x = 116,043,998,506,384
  5. Step 5: Solve for x
    x = 116,043,998,506,384/7,178,082
  6. Step 6: Final answer
    x = 16,166,435.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.