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Finding the Third Proportional to 212,715,827 and 462,701,413

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Solution

The third proportional to 212,715,827 and 462,701,413 is: 1,006,472,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715,827 : 462,701,413 = 462,701,413 : x
  2. Step 2: Convert to fraction form
    212,715,827/462,701,413 = 462,701,413/x
  3. Step 3: Cross multiply
    212,715,827x = 462,701,413 × 462,701,413
  4. Step 4: Simplify right side
    212,715,827x = 214,092,597,592,196,576
  5. Step 5: Solve for x
    x = 214,092,597,592,196,576/212,715,827
  6. Step 6: Final answer
    x = 1,006,472,346.75

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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.