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Finding the Third Proportional to 259,817,640 and 538,052,004

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Solution

The third proportional to 259,817,640 and 538,052,004 is: 1,114,242,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,817,640 : 538,052,004 = 538,052,004 : x
  2. Step 2: Convert to fraction form
    259,817,640/538,052,004 = 538,052,004/x
  3. Step 3: Cross multiply
    259,817,640x = 538,052,004 × 538,052,004
  4. Step 4: Simplify right side
    259,817,640x = 289,499,959,008,416,000
  5. Step 5: Solve for x
    x = 289,499,959,008,416,000/259,817,640
  6. Step 6: Final answer
    x = 1,114,242,893.62

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.