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Finding the Third Proportional to 1,167,543,915 and 1,880,130,249

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Solution

The third proportional to 1,167,543,915 and 1,880,130,249 is: 3,027,628,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167,543,915 : 1,880,130,249 = 1,880,130,249 : x
  2. Step 2: Convert to fraction form
    1,167,543,915/1,880,130,249 = 1,880,130,249/x
  3. Step 3: Cross multiply
    1,167,543,915x = 1,880,130,249 × 1,880,130,249
  4. Step 4: Simplify right side
    1,167,543,915x = 3,534,889,753,204,802,048
  5. Step 5: Solve for x
    x = 3,534,889,753,204,802,048/1,167,543,915
  6. Step 6: Final answer
    x = 3,027,628,946.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.