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Finding the Third Proportional to 4,241,967,295,382.80 and 9,305,201,309,742.40

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Solution

The third proportional to 4,241,967,295,382.80 and 9,305,201,309,742.40 is: 20,411,937,524,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241,967,295,382.80 : 9,305,201,309,742.40 = 9,305,201,309,742.40 : x
  2. Step 2: Convert to fraction form
    4,241,967,295,382.80/9,305,201,309,742.40 = 9,305,201,309,742.40/x
  3. Step 3: Cross multiply
    4,241,967,295,382.80x = 9,305,201,309,742.40 × 9,305,201,309,742.40
  4. Step 4: Simplify right side
    4,241,967,295,382.80x = 86,586,771,414,831,680,496,599,040
  5. Step 5: Solve for x
    x = 86,586,771,414,831,680,496,599,040/4,241,967,295,382.80
  6. Step 6: Final answer
    x = 20,411,937,524,619.22

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.