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Finding the Third Proportional to 463,052,458,016 and 1,003,032,063,670

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Solution

The third proportional to 463,052,458,016 and 1,003,032,063,670 is: 2,172,698,369,987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,052,458,016 : 1,003,032,063,670 = 1,003,032,063,670 : x
  2. Step 2: Convert to fraction form
    463,052,458,016/1,003,032,063,670 = 1,003,032,063,670/x
  3. Step 3: Cross multiply
    463,052,458,016x = 1,003,032,063,670 × 1,003,032,063,670
  4. Step 4: Simplify right side
    463,052,458,016x = 1,006,073,320,750,098,918,932,480
  5. Step 5: Solve for x
    x = 1,006,073,320,750,098,918,932,480/463,052,458,016
  6. Step 6: Final answer
    x = 2,172,698,369,987.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.