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Finding the Third Proportional to 11,431,897,840.50 and 24,517,877,241

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Solution

The third proportional to 11,431,897,840.50 and 24,517,877,241 is: 52,583,246,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,897,840.50 : 24,517,877,241 = 24,517,877,241 : x
  2. Step 2: Convert to fraction form
    11,431,897,840.50/24,517,877,241 = 24,517,877,241/x
  3. Step 3: Cross multiply
    11,431,897,840.50x = 24,517,877,241 × 24,517,877,241
  4. Step 4: Simplify right side
    11,431,897,840.50x = 601,126,304,404,745,748,480
  5. Step 5: Solve for x
    x = 601,126,304,404,745,748,480/11,431,897,840.50
  6. Step 6: Final answer
    x = 52,583,246,700.75

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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.