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Finding the Third Proportional to 2,412,414,864 and 5,252,008,140

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Solution

The third proportional to 2,412,414,864 and 5,252,008,140 is: 11,434,015,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412,414,864 : 5,252,008,140 = 5,252,008,140 : x
  2. Step 2: Convert to fraction form
    2,412,414,864/5,252,008,140 = 5,252,008,140/x
  3. Step 3: Cross multiply
    2,412,414,864x = 5,252,008,140 × 5,252,008,140
  4. Step 4: Simplify right side
    2,412,414,864x = 27,583,589,502,626,258,944
  5. Step 5: Solve for x
    x = 27,583,589,502,626,258,944/2,412,414,864
  6. Step 6: Final answer
    x = 11,434,015,730.15

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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.