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Finding the Third Proportional to 596,532,153.38 and 1,296,321,633

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Solution

The third proportional to 596,532,153.38 and 1,296,321,633 is: 2,817,031,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,532,153.38 : 1,296,321,633 = 1,296,321,633 : x
  2. Step 2: Convert to fraction form
    596,532,153.38/1,296,321,633 = 1,296,321,633/x
  3. Step 3: Cross multiply
    596,532,153.38x = 1,296,321,633 × 1,296,321,633
  4. Step 4: Simplify right side
    596,532,153.38x = 1,680,449,776,183,786,752
  5. Step 5: Solve for x
    x = 1,680,449,776,183,786,752/596,532,153.38
  6. Step 6: Final answer
    x = 2,817,031,348.06

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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.