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Finding the Third Proportional to 3,330,663,820 and 7,405,813,048

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Solution

The third proportional to 3,330,663,820 and 7,405,813,048 is: 16,467,007,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330,663,820 : 7,405,813,048 = 7,405,813,048 : x
  2. Step 2: Convert to fraction form
    3,330,663,820/7,405,813,048 = 7,405,813,048/x
  3. Step 3: Cross multiply
    3,330,663,820x = 7,405,813,048 × 7,405,813,048
  4. Step 4: Simplify right side
    3,330,663,820x = 54,846,066,901,927,051,264
  5. Step 5: Solve for x
    x = 54,846,066,901,927,051,264/3,330,663,820
  6. Step 6: Final answer
    x = 16,467,007,739.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.