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Finding the Third Proportional to 2,602,160,872.50 and 3,964,224,204

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Solution

The third proportional to 2,602,160,872.50 and 3,964,224,204 is: 6,039,239,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,160,872.50 : 3,964,224,204 = 3,964,224,204 : x
  2. Step 2: Convert to fraction form
    2,602,160,872.50/3,964,224,204 = 3,964,224,204/x
  3. Step 3: Cross multiply
    2,602,160,872.50x = 3,964,224,204 × 3,964,224,204
  4. Step 4: Simplify right side
    2,602,160,872.50x = 15,715,073,539,579,432,960
  5. Step 5: Solve for x
    x = 15,715,073,539,579,432,960/2,602,160,872.50
  6. Step 6: Final answer
    x = 6,039,239,812.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.