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Finding the Third Proportional to 216,466,755 and 472,611,951

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Solution

The third proportional to 216,466,755 and 472,611,951 is: 1,031,853,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,466,755 : 472,611,951 = 472,611,951 : x
  2. Step 2: Convert to fraction form
    216,466,755/472,611,951 = 472,611,951/x
  3. Step 3: Cross multiply
    216,466,755x = 472,611,951 × 472,611,951
  4. Step 4: Simplify right side
    216,466,755x = 223,362,056,228,026,400
  5. Step 5: Solve for x
    x = 223,362,056,228,026,400/216,466,755
  6. Step 6: Final answer
    x = 1,031,853,857.78

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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.