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Finding the Third Proportional to 216,467,436 and 472,627,791

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Solution

The third proportional to 216,467,436 and 472,627,791 is: 1,031,919,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,467,436 : 472,627,791 = 472,627,791 : x
  2. Step 2: Convert to fraction form
    216,467,436/472,627,791 = 472,627,791/x
  3. Step 3: Cross multiply
    216,467,436x = 472,627,791 × 472,627,791
  4. Step 4: Simplify right side
    216,467,436x = 223,377,028,825,539,680
  5. Step 5: Solve for x
    x = 223,377,028,825,539,680/216,467,436
  6. Step 6: Final answer
    x = 1,031,919,779.50

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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.