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Finding the Third Proportional to 4,104,851,206.50 and 8,962,123,225.50

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Solution

The third proportional to 4,104,851,206.50 and 8,962,123,225.50 is: 19,567,007,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104,851,206.50 : 8,962,123,225.50 = 8,962,123,225.50 : x
  2. Step 2: Convert to fraction form
    4,104,851,206.50/8,962,123,225.50 = 8,962,123,225.50/x
  3. Step 3: Cross multiply
    4,104,851,206.50x = 8,962,123,225.50 × 8,962,123,225.50
  4. Step 4: Simplify right side
    4,104,851,206.50x = 80,319,652,709,046,517,760
  5. Step 5: Solve for x
    x = 80,319,652,709,046,517,760/4,104,851,206.50
  6. Step 6: Final answer
    x = 19,567,007,101.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.