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Finding the Third Proportional to 57,755,566,298 and 123,459,474,905.50

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Solution

The third proportional to 57,755,566,298 and 123,459,474,905.50 is: 263,909,488,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,755,566,298 : 123,459,474,905.50 = 123,459,474,905.50 : x
  2. Step 2: Convert to fraction form
    57,755,566,298/123,459,474,905.50 = 123,459,474,905.50/x
  3. Step 3: Cross multiply
    57,755,566,298x = 123,459,474,905.50 × 123,459,474,905.50
  4. Step 4: Simplify right side
    57,755,566,298x = 15,242,241,943,941,784,010,752
  5. Step 5: Solve for x
    x = 15,242,241,943,941,784,010,752/57,755,566,298
  6. Step 6: Final answer
    x = 263,909,488,226.59

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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.