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Finding the Third Proportional to 365,387,382 and 862,248,822.75

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Solution

The third proportional to 365,387,382 and 862,248,822.75 is: 2,034,752,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,387,382 : 862,248,822.75 = 862,248,822.75 : x
  2. Step 2: Convert to fraction form
    365,387,382/862,248,822.75 = 862,248,822.75/x
  3. Step 3: Cross multiply
    365,387,382x = 862,248,822.75 × 862,248,822.75
  4. Step 4: Simplify right side
    365,387,382x = 743,473,032,333,760,896
  5. Step 5: Solve for x
    x = 743,473,032,333,760,896/365,387,382
  6. Step 6: Final answer
    x = 2,034,752,892.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.