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Finding the Third Proportional to 57,755,566,298 and 123,459,474,906

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Solution

The third proportional to 57,755,566,298 and 123,459,474,906 is: 263,909,488,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,755,566,298 : 123,459,474,906 = 123,459,474,906 : x
  2. Step 2: Convert to fraction form
    57,755,566,298/123,459,474,906 = 123,459,474,906/x
  3. Step 3: Cross multiply
    57,755,566,298x = 123,459,474,906 × 123,459,474,906
  4. Step 4: Simplify right side
    57,755,566,298x = 15,242,241,944,065,243,348,992
  5. Step 5: Solve for x
    x = 15,242,241,944,065,243,348,992/57,755,566,298
  6. Step 6: Final answer
    x = 263,909,488,228.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.