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Finding the Third Proportional to 4,761,844.50 and 7,185,697.50

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Solution

The third proportional to 4,761,844.50 and 7,185,697.50 is: 10,843,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761,844.50 : 7,185,697.50 = 7,185,697.50 : x
  2. Step 2: Convert to fraction form
    4,761,844.50/7,185,697.50 = 7,185,697.50/x
  3. Step 3: Cross multiply
    4,761,844.50x = 7,185,697.50 × 7,185,697.50
  4. Step 4: Simplify right side
    4,761,844.50x = 51,634,248,561,506.25
  5. Step 5: Solve for x
    x = 51,634,248,561,506.25/4,761,844.50
  6. Step 6: Final answer
    x = 10,843,329.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.