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Finding the Third Proportional to 286,825,689 and 633,942,928.50

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Solution

The third proportional to 286,825,689 and 633,942,928.50 is: 1,401,142,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,825,689 : 633,942,928.50 = 633,942,928.50 : x
  2. Step 2: Convert to fraction form
    286,825,689/633,942,928.50 = 633,942,928.50/x
  3. Step 3: Cross multiply
    286,825,689x = 633,942,928.50 × 633,942,928.50
  4. Step 4: Simplify right side
    286,825,689x = 401,883,636,595,156,096
  5. Step 5: Solve for x
    x = 401,883,636,595,156,096/286,825,689
  6. Step 6: Final answer
    x = 1,401,142,408.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.