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Finding the Third Proportional to 324,264,317,127 and 675,367,793,487

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Solution

The third proportional to 324,264,317,127 and 675,367,793,487 is: 1,406,635,366,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,264,317,127 : 675,367,793,487 = 675,367,793,487 : x
  2. Step 2: Convert to fraction form
    324,264,317,127/675,367,793,487 = 675,367,793,487/x
  3. Step 3: Cross multiply
    324,264,317,127x = 675,367,793,487 × 675,367,793,487
  4. Step 4: Simplify right side
    324,264,317,127x = 456,121,656,479,499,075,715,072
  5. Step 5: Solve for x
    x = 456,121,656,479,499,075,715,072/324,264,317,127
  6. Step 6: Final answer
    x = 1,406,635,366,236.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.