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Finding the Third Proportional to 212,716,626 and 462,702,810

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Solution

The third proportional to 212,716,626 and 462,702,810 is: 1,006,474,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,716,626 : 462,702,810 = 462,702,810 : x
  2. Step 2: Convert to fraction form
    212,716,626/462,702,810 = 462,702,810/x
  3. Step 3: Cross multiply
    212,716,626x = 462,702,810 × 462,702,810
  4. Step 4: Simplify right side
    212,716,626x = 214,093,890,381,896,096
  5. Step 5: Solve for x
    x = 214,093,890,381,896,096/212,716,626
  6. Step 6: Final answer
    x = 1,006,474,643.79

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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.