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Finding the Third Proportional to 473,726,616 and 1,056,378,333

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Solution

The third proportional to 473,726,616 and 1,056,378,333 is: 2,355,652,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,726,616 : 1,056,378,333 = 1,056,378,333 : x
  2. Step 2: Convert to fraction form
    473,726,616/1,056,378,333 = 1,056,378,333/x
  3. Step 3: Cross multiply
    473,726,616x = 1,056,378,333 × 1,056,378,333
  4. Step 4: Simplify right side
    473,726,616x = 1,115,935,182,431,858,944
  5. Step 5: Solve for x
    x = 1,115,935,182,431,858,944/473,726,616
  6. Step 6: Final answer
    x = 2,355,652,278.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.