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Finding the Third Proportional to 468,285,400 and 1,041,272,024

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Solution

The third proportional to 468,285,400 and 1,041,272,024 is: 2,315,356,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,285,400 : 1,041,272,024 = 1,041,272,024 : x
  2. Step 2: Convert to fraction form
    468,285,400/1,041,272,024 = 1,041,272,024/x
  3. Step 3: Cross multiply
    468,285,400x = 1,041,272,024 × 1,041,272,024
  4. Step 4: Simplify right side
    468,285,400x = 1,084,247,427,965,056,512
  5. Step 5: Solve for x
    x = 1,084,247,427,965,056,512/468,285,400
  6. Step 6: Final answer
    x = 2,315,356,037.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.