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Finding the Third Proportional to 212,715,825 and 462,701,409

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Solution

The third proportional to 212,715,825 and 462,701,409 is: 1,006,472,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715,825 : 462,701,409 = 462,701,409 : x
  2. Step 2: Convert to fraction form
    212,715,825/462,701,409 = 462,701,409/x
  3. Step 3: Cross multiply
    212,715,825x = 462,701,409 × 462,701,409
  4. Step 4: Simplify right side
    212,715,825x = 214,092,593,890,585,280
  5. Step 5: Solve for x
    x = 214,092,593,890,585,280/212,715,825
  6. Step 6: Final answer
    x = 1,006,472,338.81

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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.