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Finding the Third Proportional to 4,052,287,010 and 6,054,576,099

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Solution

The third proportional to 4,052,287,010 and 6,054,576,099 is: 9,046,222,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052,287,010 : 6,054,576,099 = 6,054,576,099 : x
  2. Step 2: Convert to fraction form
    4,052,287,010/6,054,576,099 = 6,054,576,099/x
  3. Step 3: Cross multiply
    4,052,287,010x = 6,054,576,099 × 6,054,576,099
  4. Step 4: Simplify right side
    4,052,287,010x = 36,657,891,738,582,056,960
  5. Step 5: Solve for x
    x = 36,657,891,738,582,056,960/4,052,287,010
  6. Step 6: Final answer
    x = 9,046,222,947.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.