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Finding the Third Proportional to 618,279,264 and 1,333,410,915

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Solution

The third proportional to 618,279,264 and 1,333,410,915 is: 2,875,698,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,279,264 : 1,333,410,915 = 1,333,410,915 : x
  2. Step 2: Convert to fraction form
    618,279,264/1,333,410,915 = 1,333,410,915/x
  3. Step 3: Cross multiply
    618,279,264x = 1,333,410,915 × 1,333,410,915
  4. Step 4: Simplify right side
    618,279,264x = 1,777,984,668,241,137,152
  5. Step 5: Solve for x
    x = 1,777,984,668,241,137,152/618,279,264
  6. Step 6: Final answer
    x = 2,875,698,364.42

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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.