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Finding the Third Proportional to 312,012,474,859.10 and 670,981,754,271.80

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Solution

The third proportional to 312,012,474,859.10 and 670,981,754,271.80 is: 1,442,943,955,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,012,474,859.10 : 670,981,754,271.80 = 670,981,754,271.80 : x
  2. Step 2: Convert to fraction form
    312,012,474,859.10/670,981,754,271.80 = 670,981,754,271.80/x
  3. Step 3: Cross multiply
    312,012,474,859.10x = 670,981,754,271.80 × 670,981,754,271.80
  4. Step 4: Simplify right side
    312,012,474,859.10x = 450,216,514,565,662,289,428,480
  5. Step 5: Solve for x
    x = 450,216,514,565,662,289,428,480/312,012,474,859.10
  6. Step 6: Final answer
    x = 1,442,943,955,266.45

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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.