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Finding the Third Proportional to 260,420,229 and 561,727,962

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Solution

The third proportional to 260,420,229 and 561,727,962 is: 1,211,650,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,420,229 : 561,727,962 = 561,727,962 : x
  2. Step 2: Convert to fraction form
    260,420,229/561,727,962 = 561,727,962/x
  3. Step 3: Cross multiply
    260,420,229x = 561,727,962 × 561,727,962
  4. Step 4: Simplify right side
    260,420,229x = 315,538,303,292,673,472
  5. Step 5: Solve for x
    x = 315,538,303,292,673,472/260,420,229
  6. Step 6: Final answer
    x = 1,211,650,510.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.