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Finding the Third Proportional to 605,319,979.50 and 1,258,950,647.25

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Solution

The third proportional to 605,319,979.50 and 1,258,950,647.25 is: 2,618,378,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,319,979.50 : 1,258,950,647.25 = 1,258,950,647.25 : x
  2. Step 2: Convert to fraction form
    605,319,979.50/1,258,950,647.25 = 1,258,950,647.25/x
  3. Step 3: Cross multiply
    605,319,979.50x = 1,258,950,647.25 × 1,258,950,647.25
  4. Step 4: Simplify right side
    605,319,979.50x = 1,584,956,732,211,193,856
  5. Step 5: Solve for x
    x = 1,584,956,732,211,193,856/605,319,979.50
  6. Step 6: Final answer
    x = 2,618,378,355.07

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