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Finding the Third Proportional to 919,293,372.77 and 1,289,950,584.93

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Solution

The third proportional to 919,293,372.77 and 1,289,950,584.93 is: 1,810,056,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,293,372.77 : 1,289,950,584.93 = 1,289,950,584.93 : x
  2. Step 2: Convert to fraction form
    919,293,372.77/1,289,950,584.93 = 1,289,950,584.93/x
  3. Step 3: Cross multiply
    919,293,372.77x = 1,289,950,584.93 × 1,289,950,584.93
  4. Step 4: Simplify right side
    919,293,372.77x = 1,663,972,511,550,413,824
  5. Step 5: Solve for x
    x = 1,663,972,511,550,413,824/919,293,372.77
  6. Step 6: Final answer
    x = 1,810,056,028.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.