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Finding the Third Proportional to 294,458,577.01 and 637,991,588.74

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Solution

The third proportional to 294,458,577.01 and 637,991,588.74 is: 1,382,310,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,458,577.01 : 637,991,588.74 = 637,991,588.74 : x
  2. Step 2: Convert to fraction form
    294,458,577.01/637,991,588.74 = 637,991,588.74/x
  3. Step 3: Cross multiply
    294,458,577.01x = 637,991,588.74 × 637,991,588.74
  4. Step 4: Simplify right side
    294,458,577.01x = 407,033,267,305,770,944
  5. Step 5: Solve for x
    x = 407,033,267,305,770,944/294,458,577.01
  6. Step 6: Final answer
    x = 1,382,310,786.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.