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Finding the Third Proportional to 31,773,216 and 68,584,416

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Solution

The third proportional to 31,773,216 and 68,584,416 is: 148,043,626.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773,216 : 68,584,416 = 68,584,416 : x
  2. Step 2: Convert to fraction form
    31,773,216/68,584,416 = 68,584,416/x
  3. Step 3: Cross multiply
    31,773,216x = 68,584,416 × 68,584,416
  4. Step 4: Simplify right side
    31,773,216x = 4,703,822,118,061,056
  5. Step 5: Solve for x
    x = 4,703,822,118,061,056/31,773,216
  6. Step 6: Final answer
    x = 148,043,626.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.