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Finding the Third Proportional to 312,012,474,863.90 and 670,981,754,281.20

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Solution

The third proportional to 312,012,474,863.90 and 670,981,754,281.20 is: 1,442,943,955,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,012,474,863.90 : 670,981,754,281.20 = 670,981,754,281.20 : x
  2. Step 2: Convert to fraction form
    312,012,474,863.90/670,981,754,281.20 = 670,981,754,281.20/x
  3. Step 3: Cross multiply
    312,012,474,863.90x = 670,981,754,281.20 × 670,981,754,281.20
  4. Step 4: Simplify right side
    312,012,474,863.90x = 450,216,514,578,276,608,376,832
  5. Step 5: Solve for x
    x = 450,216,514,578,276,608,376,832/312,012,474,863.90
  6. Step 6: Final answer
    x = 1,442,943,955,284.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.