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Finding the Third Proportional to 3,114,720 and 6,905,808

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Solution

The third proportional to 3,114,720 and 6,905,808 is: 15,311,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114,720 : 6,905,808 = 6,905,808 : x
  2. Step 2: Convert to fraction form
    3,114,720/6,905,808 = 6,905,808/x
  3. Step 3: Cross multiply
    3,114,720x = 6,905,808 × 6,905,808
  4. Step 4: Simplify right side
    3,114,720x = 47,690,184,132,864
  5. Step 5: Solve for x
    x = 47,690,184,132,864/3,114,720
  6. Step 6: Final answer
    x = 15,311,226.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.