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Finding the Third Proportional to 260,017,722 and 576,098,780.63

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Solution

The third proportional to 260,017,722 and 576,098,780.63 is: 1,276,412,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,017,722 : 576,098,780.63 = 576,098,780.63 : x
  2. Step 2: Convert to fraction form
    260,017,722/576,098,780.63 = 576,098,780.63/x
  3. Step 3: Cross multiply
    260,017,722x = 576,098,780.63 × 576,098,780.63
  4. Step 4: Simplify right side
    260,017,722x = 331,889,805,037,611,904
  5. Step 5: Solve for x
    x = 331,889,805,037,611,904/260,017,722
  6. Step 6: Final answer
    x = 1,276,412,247.92

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.