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Finding the Third Proportional to 596,532,159 and 1,296,321,642

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Solution

The third proportional to 596,532,159 and 1,296,321,642 is: 2,817,031,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,532,159 : 1,296,321,642 = 1,296,321,642 : x
  2. Step 2: Convert to fraction form
    596,532,159/1,296,321,642 = 1,296,321,642/x
  3. Step 3: Cross multiply
    596,532,159x = 1,296,321,642 × 1,296,321,642
  4. Step 4: Simplify right side
    596,532,159x = 1,680,449,799,517,576,192
  5. Step 5: Solve for x
    x = 1,680,449,799,517,576,192/596,532,159
  6. Step 6: Final answer
    x = 2,817,031,360.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.