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Finding the Third Proportional to 4,052,287,014 and 6,054,576,104

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Solution

The third proportional to 4,052,287,014 and 6,054,576,104 is: 9,046,222,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052,287,014 : 6,054,576,104 = 6,054,576,104 : x
  2. Step 2: Convert to fraction form
    4,052,287,014/6,054,576,104 = 6,054,576,104/x
  3. Step 3: Cross multiply
    4,052,287,014x = 6,054,576,104 × 6,054,576,104
  4. Step 4: Simplify right side
    4,052,287,014x = 36,657,891,799,127,818,240
  5. Step 5: Solve for x
    x = 36,657,891,799,127,818,240/4,052,287,014
  6. Step 6: Final answer
    x = 9,046,222,953.23

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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.