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Finding the Third Proportional to 1,169,117,816 and 2,544,047,460

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Solution

The third proportional to 1,169,117,816 and 2,544,047,460 is: 5,535,949,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,117,816 : 2,544,047,460 = 2,544,047,460 : x
  2. Step 2: Convert to fraction form
    1,169,117,816/2,544,047,460 = 2,544,047,460/x
  3. Step 3: Cross multiply
    1,169,117,816x = 2,544,047,460 × 2,544,047,460
  4. Step 4: Simplify right side
    1,169,117,816x = 6,472,177,478,732,451,840
  5. Step 5: Solve for x
    x = 6,472,177,478,732,451,840/1,169,117,816
  6. Step 6: Final answer
    x = 5,535,949,747.88

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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.