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Finding the Third Proportional to 5,676,096 and 8,348,160

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Solution

The third proportional to 5,676,096 and 8,348,160 is: 12,278,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676,096 : 8,348,160 = 8,348,160 : x
  2. Step 2: Convert to fraction form
    5,676,096/8,348,160 = 8,348,160/x
  3. Step 3: Cross multiply
    5,676,096x = 8,348,160 × 8,348,160
  4. Step 4: Simplify right side
    5,676,096x = 69,691,775,385,600
  5. Step 5: Solve for x
    x = 69,691,775,385,600/5,676,096
  6. Step 6: Final answer
    x = 12,278,117.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.