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Finding the Third Proportional to 6,675,056,516 and 14,511,180,424

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Solution

The third proportional to 6,675,056,516 and 14,511,180,424 is: 31,546,453,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675,056,516 : 14,511,180,424 = 14,511,180,424 : x
  2. Step 2: Convert to fraction form
    6,675,056,516/14,511,180,424 = 14,511,180,424/x
  3. Step 3: Cross multiply
    6,675,056,516x = 14,511,180,424 × 14,511,180,424
  4. Step 4: Simplify right side
    6,675,056,516x = 210,574,357,297,880,825,856
  5. Step 5: Solve for x
    x = 210,574,357,297,880,825,856/6,675,056,516
  6. Step 6: Final answer
    x = 31,546,453,096.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.