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Finding the Third Proportional to 726,154,123.50 and 1,089,974,778.75

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Solution

The third proportional to 726,154,123.50 and 1,089,974,778.75 is: 1,636,078,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,154,123.50 : 1,089,974,778.75 = 1,089,974,778.75 : x
  2. Step 2: Convert to fraction form
    726,154,123.50/1,089,974,778.75 = 1,089,974,778.75/x
  3. Step 3: Cross multiply
    726,154,123.50x = 1,089,974,778.75 × 1,089,974,778.75
  4. Step 4: Simplify right side
    726,154,123.50x = 1,188,045,018,311,111,424
  5. Step 5: Solve for x
    x = 1,188,045,018,311,111,424/726,154,123.50
  6. Step 6: Final answer
    x = 1,636,078,319.83

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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.