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Finding the Third Proportional to 5,710,096 and 8,407,376

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Solution

The third proportional to 5,710,096 and 8,407,376 is: 12,378,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,096 : 8,407,376 = 8,407,376 : x
  2. Step 2: Convert to fraction form
    5,710,096/8,407,376 = 8,407,376/x
  3. Step 3: Cross multiply
    5,710,096x = 8,407,376 × 8,407,376
  4. Step 4: Simplify right side
    5,710,096x = 70,683,971,205,376
  5. Step 5: Solve for x
    x = 70,683,971,205,376/5,710,096
  6. Step 6: Final answer
    x = 12,378,771.08

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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.