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Finding the Third Proportional to 1,169,117,900 and 2,544,047,608

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Solution

The third proportional to 1,169,117,900 and 2,544,047,608 is: 5,535,949,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,117,900 : 2,544,047,608 = 2,544,047,608 : x
  2. Step 2: Convert to fraction form
    1,169,117,900/2,544,047,608 = 2,544,047,608/x
  3. Step 3: Cross multiply
    1,169,117,900x = 2,544,047,608 × 2,544,047,608
  4. Step 4: Simplify right side
    1,169,117,900x = 6,472,178,231,770,521,600
  5. Step 5: Solve for x
    x = 6,472,178,231,770,521,600/1,169,117,900
  6. Step 6: Final answer
    x = 5,535,949,994.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.