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Finding the Third Proportional to 573,088,564.13 and 1,238,192,481.94

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Solution

The third proportional to 573,088,564.13 and 1,238,192,481.94 is: 2,675,189,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,088,564.13 : 1,238,192,481.94 = 1,238,192,481.94 : x
  2. Step 2: Convert to fraction form
    573,088,564.13/1,238,192,481.94 = 1,238,192,481.94/x
  3. Step 3: Cross multiply
    573,088,564.13x = 1,238,192,481.94 × 1,238,192,481.94
  4. Step 4: Simplify right side
    573,088,564.13x = 1,533,120,622,326,546,176
  5. Step 5: Solve for x
    x = 1,533,120,622,326,546,176/573,088,564.13
  6. Step 6: Final answer
    x = 2,675,189,697.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.