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Finding the Third Proportional to 3,330,663,858 and 7,405,813,143

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Solution

The third proportional to 3,330,663,858 and 7,405,813,143 is: 16,467,007,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330,663,858 : 7,405,813,143 = 7,405,813,143 : x
  2. Step 2: Convert to fraction form
    3,330,663,858/7,405,813,143 = 7,405,813,143/x
  3. Step 3: Cross multiply
    3,330,663,858x = 7,405,813,143 × 7,405,813,143
  4. Step 4: Simplify right side
    3,330,663,858x = 54,846,068,309,031,534,592
  5. Step 5: Solve for x
    x = 54,846,068,309,031,534,592/3,330,663,858
  6. Step 6: Final answer
    x = 16,467,007,974.19

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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.