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Finding the Third Proportional to 216,525,696 and 510,961,872

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Solution

The third proportional to 216,525,696 and 510,961,872 is: 1,205,778,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,525,696 : 510,961,872 = 510,961,872 : x
  2. Step 2: Convert to fraction form
    216,525,696/510,961,872 = 510,961,872/x
  3. Step 3: Cross multiply
    216,525,696x = 510,961,872 × 510,961,872
  4. Step 4: Simplify right side
    216,525,696x = 261,082,034,637,744,384
  5. Step 5: Solve for x
    x = 261,082,034,637,744,384/216,525,696
  6. Step 6: Final answer
    x = 1,205,778,526.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.