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Finding the Third Proportional to 262,789,423.88 and 567,128,010.38

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Solution

The third proportional to 262,789,423.88 and 567,128,010.38 is: 1,223,923,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,789,423.88 : 567,128,010.38 = 567,128,010.38 : x
  2. Step 2: Convert to fraction form
    262,789,423.88/567,128,010.38 = 567,128,010.38/x
  3. Step 3: Cross multiply
    262,789,423.88x = 567,128,010.38 × 567,128,010.38
  4. Step 4: Simplify right side
    262,789,423.88x = 321,634,180,151,906,112
  5. Step 5: Solve for x
    x = 321,634,180,151,906,112/262,789,423.88
  6. Step 6: Final answer
    x = 1,223,923,609.29

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