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Finding the Third Proportional to 640,766,736 and 962,856,243

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Solution

The third proportional to 640,766,736 and 962,856,243 is: 1,446,848,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,766,736 : 962,856,243 = 962,856,243 : x
  2. Step 2: Convert to fraction form
    640,766,736/962,856,243 = 962,856,243/x
  3. Step 3: Cross multiply
    640,766,736x = 962,856,243 × 962,856,243
  4. Step 4: Simplify right side
    640,766,736x = 927,092,144,684,075,008
  5. Step 5: Solve for x
    x = 927,092,144,684,075,008/640,766,736
  6. Step 6: Final answer
    x = 1,446,848,115.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.