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Finding the Third Proportional to 306,619,568,559 and 670,943,266,625.24

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Solution

The third proportional to 306,619,568,559 and 670,943,266,625.24 is: 1,468,154,394,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,619,568,559 : 670,943,266,625.24 = 670,943,266,625.24 : x
  2. Step 2: Convert to fraction form
    306,619,568,559/670,943,266,625.24 = 670,943,266,625.24/x
  3. Step 3: Cross multiply
    306,619,568,559x = 670,943,266,625.24 × 670,943,266,625.24
  4. Step 4: Simplify right side
    306,619,568,559x = 450,164,867,029,747,856,572,416
  5. Step 5: Solve for x
    x = 450,164,867,029,747,856,572,416/306,619,568,559
  6. Step 6: Final answer
    x = 1,468,154,394,533.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.