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Finding the Third Proportional to 2,503,146,196.50 and 5,441,692,665

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Solution

The third proportional to 2,503,146,196.50 and 5,441,692,665 is: 11,829,919,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503,146,196.50 : 5,441,692,665 = 5,441,692,665 : x
  2. Step 2: Convert to fraction form
    2,503,146,196.50/5,441,692,665 = 5,441,692,665/x
  3. Step 3: Cross multiply
    2,503,146,196.50x = 5,441,692,665 × 5,441,692,665
  4. Step 4: Simplify right side
    2,503,146,196.50x = 29,612,019,060,314,804,224
  5. Step 5: Solve for x
    x = 29,612,019,060,314,804,224/2,503,146,196.50
  6. Step 6: Final answer
    x = 11,829,919,923.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.