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Finding the Third Proportional to 679,696,656.75 and 1,463,979,241.13

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Solution

The third proportional to 679,696,656.75 and 1,463,979,241.13 is: 3,153,223,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,696,656.75 : 1,463,979,241.13 = 1,463,979,241.13 : x
  2. Step 2: Convert to fraction form
    679,696,656.75/1,463,979,241.13 = 1,463,979,241.13/x
  3. Step 3: Cross multiply
    679,696,656.75x = 1,463,979,241.13 × 1,463,979,241.13
  4. Step 4: Simplify right side
    679,696,656.75x = 2,143,235,218,444,930,816
  5. Step 5: Solve for x
    x = 2,143,235,218,444,930,816/679,696,656.75
  6. Step 6: Final answer
    x = 3,153,223,128.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.