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Finding the Third Proportional to 662,285,748 and 1,393,218,024

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Solution

The third proportional to 662,285,748 and 1,393,218,024 is: 2,930,844,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,285,748 : 1,393,218,024 = 1,393,218,024 : x
  2. Step 2: Convert to fraction form
    662,285,748/1,393,218,024 = 1,393,218,024/x
  3. Step 3: Cross multiply
    662,285,748x = 1,393,218,024 × 1,393,218,024
  4. Step 4: Simplify right side
    662,285,748x = 1,941,056,462,398,464,512
  5. Step 5: Solve for x
    x = 1,941,056,462,398,464,512/662,285,748
  6. Step 6: Final answer
    x = 2,930,844,379.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.