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Finding the Third Proportional to 452,810,708.44 and 978,324,905.81

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Solution

The third proportional to 452,810,708.44 and 978,324,905.81 is: 2,113,730,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,810,708.44 : 978,324,905.81 = 978,324,905.81 : x
  2. Step 2: Convert to fraction form
    452,810,708.44/978,324,905.81 = 978,324,905.81/x
  3. Step 3: Cross multiply
    452,810,708.44x = 978,324,905.81 × 978,324,905.81
  4. Step 4: Simplify right side
    452,810,708.44x = 957,119,621,333,037,056
  5. Step 5: Solve for x
    x = 957,119,621,333,037,056/452,810,708.44
  6. Step 6: Final answer
    x = 2,113,730,094.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.