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Finding the Third Proportional to 107,613,712,653 and 231,197,646,669

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Solution

The third proportional to 107,613,712,653 and 231,197,646,669 is: 496,705,768,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,613,712,653 : 231,197,646,669 = 231,197,646,669 : x
  2. Step 2: Convert to fraction form
    107,613,712,653/231,197,646,669 = 231,197,646,669/x
  3. Step 3: Cross multiply
    107,613,712,653x = 231,197,646,669 × 231,197,646,669
  4. Step 4: Simplify right side
    107,613,712,653x = 53,452,351,825,283,764,977,664
  5. Step 5: Solve for x
    x = 53,452,351,825,283,764,977,664/107,613,712,653
  6. Step 6: Final answer
    x = 496,705,768,321.93

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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.