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Finding the Third Proportional to 12,793,467 and 30,200,938.50

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Solution

The third proportional to 12,793,467 and 30,200,938.50 is: 71,293,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793,467 : 30,200,938.50 = 30,200,938.50 : x
  2. Step 2: Convert to fraction form
    12,793,467/30,200,938.50 = 30,200,938.50/x
  3. Step 3: Cross multiply
    12,793,467x = 30,200,938.50 × 30,200,938.50
  4. Step 4: Simplify right side
    12,793,467x = 912,096,686,280,782.25
  5. Step 5: Solve for x
    x = 912,096,686,280,782.25/12,793,467
  6. Step 6: Final answer
    x = 71,293,941.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.