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Finding the Third Proportional to 1,477,324,288 and 2,305,426,000

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Solution

The third proportional to 1,477,324,288 and 2,305,426,000 is: 3,597,713,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,324,288 : 2,305,426,000 = 2,305,426,000 : x
  2. Step 2: Convert to fraction form
    1,477,324,288/2,305,426,000 = 2,305,426,000/x
  3. Step 3: Cross multiply
    1,477,324,288x = 2,305,426,000 × 2,305,426,000
  4. Step 4: Simplify right side
    1,477,324,288x = 5,314,989,041,475,999,744
  5. Step 5: Solve for x
    x = 5,314,989,041,475,999,744/1,477,324,288
  6. Step 6: Final answer
    x = 3,597,713,166.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.