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Finding the Third Proportional to 736,429,932.75 and 1,103,567,650.50

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Solution

The third proportional to 736,429,932.75 and 1,103,567,650.50 is: 1,653,737,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,429,932.75 : 1,103,567,650.50 = 1,103,567,650.50 : x
  2. Step 2: Convert to fraction form
    736,429,932.75/1,103,567,650.50 = 1,103,567,650.50/x
  3. Step 3: Cross multiply
    736,429,932.75x = 1,103,567,650.50 × 1,103,567,650.50
  4. Step 4: Simplify right side
    736,429,932.75x = 1,217,861,559,230,090,240
  5. Step 5: Solve for x
    x = 1,217,861,559,230,090,240/736,429,932.75
  6. Step 6: Final answer
    x = 1,653,737,178.61

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