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Finding the Third Proportional to 400,224,712.50 and 867,254,256

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Solution

The third proportional to 400,224,712.50 and 867,254,256 is: 1,879,269,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,224,712.50 : 867,254,256 = 867,254,256 : x
  2. Step 2: Convert to fraction form
    400,224,712.50/867,254,256 = 867,254,256/x
  3. Step 3: Cross multiply
    400,224,712.50x = 867,254,256 × 867,254,256
  4. Step 4: Simplify right side
    400,224,712.50x = 752,129,944,550,113,536
  5. Step 5: Solve for x
    x = 752,129,944,550,113,536/400,224,712.50
  6. Step 6: Final answer
    x = 1,879,269,123.22

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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.