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Finding the Third Proportional to 4,962,311,503.50 and 7,682,750,328

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Solution

The third proportional to 4,962,311,503.50 and 7,682,750,328 is: 11,894,588,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962,311,503.50 : 7,682,750,328 = 7,682,750,328 : x
  2. Step 2: Convert to fraction form
    4,962,311,503.50/7,682,750,328 = 7,682,750,328/x
  3. Step 3: Cross multiply
    4,962,311,503.50x = 7,682,750,328 × 7,682,750,328
  4. Step 4: Simplify right side
    4,962,311,503.50x = 59,024,652,602,384,105,472
  5. Step 5: Solve for x
    x = 59,024,652,602,384,105,472/4,962,311,503.50
  6. Step 6: Final answer
    x = 11,894,588,350.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.