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Finding the Third Proportional to 3,675,164,700 and 5,648,992,098

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Solution

The third proportional to 3,675,164,700 and 5,648,992,098 is: 8,682,906,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675,164,700 : 5,648,992,098 = 5,648,992,098 : x
  2. Step 2: Convert to fraction form
    3,675,164,700/5,648,992,098 = 5,648,992,098/x
  3. Step 3: Cross multiply
    3,675,164,700x = 5,648,992,098 × 5,648,992,098
  4. Step 4: Simplify right side
    3,675,164,700x = 31,911,111,723,266,441,216
  5. Step 5: Solve for x
    x = 31,911,111,723,266,441,216/3,675,164,700
  6. Step 6: Final answer
    x = 8,682,906,571.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.