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Finding the Third Proportional to 2,074,879,688 and 4,481,046,864

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Solution

The third proportional to 2,074,879,688 and 4,481,046,864 is: 9,677,564,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,879,688 : 4,481,046,864 = 4,481,046,864 : x
  2. Step 2: Convert to fraction form
    2,074,879,688/4,481,046,864 = 4,481,046,864/x
  3. Step 3: Cross multiply
    2,074,879,688x = 4,481,046,864 × 4,481,046,864
  4. Step 4: Simplify right side
    2,074,879,688x = 20,079,780,997,364,236,288
  5. Step 5: Solve for x
    x = 20,079,780,997,364,236,288/2,074,879,688
  6. Step 6: Final answer
    x = 9,677,564,011.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.