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Finding the Third Proportional to 33,135,844.50 and 70,877,146.50

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Solution

The third proportional to 33,135,844.50 and 70,877,146.50 is: 151,605,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,135,844.50 : 70,877,146.50 = 70,877,146.50 : x
  2. Step 2: Convert to fraction form
    33,135,844.50/70,877,146.50 = 70,877,146.50/x
  3. Step 3: Cross multiply
    33,135,844.50x = 70,877,146.50 × 70,877,146.50
  4. Step 4: Simplify right side
    33,135,844.50x = 5,023,569,895,982,462
  5. Step 5: Solve for x
    x = 5,023,569,895,982,462/33,135,844.50
  6. Step 6: Final answer
    x = 151,605,307.54

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