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Finding the Third Proportional to 292,561,216 and 629,151,872

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Solution

The third proportional to 292,561,216 and 629,151,872 is: 1,352,988,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,561,216 : 629,151,872 = 629,151,872 : x
  2. Step 2: Convert to fraction form
    292,561,216/629,151,872 = 629,151,872/x
  3. Step 3: Cross multiply
    292,561,216x = 629,151,872 × 629,151,872
  4. Step 4: Simplify right side
    292,561,216x = 395,832,078,041,104,384
  5. Step 5: Solve for x
    x = 395,832,078,041,104,384/292,561,216
  6. Step 6: Final answer
    x = 1,352,988,900.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.