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Finding the Third Proportional to 11,171,038,185 and 24,303,377,241

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Solution

The third proportional to 11,171,038,185 and 24,303,377,241 is: 52,873,702,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171,038,185 : 24,303,377,241 = 24,303,377,241 : x
  2. Step 2: Convert to fraction form
    11,171,038,185/24,303,377,241 = 24,303,377,241/x
  3. Step 3: Cross multiply
    11,171,038,185x = 24,303,377,241 × 24,303,377,241
  4. Step 4: Simplify right side
    11,171,038,185x = 590,654,145,318,356,779,008
  5. Step 5: Solve for x
    x = 590,654,145,318,356,779,008/11,171,038,185
  6. Step 6: Final answer
    x = 52,873,702,115.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.