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Finding the Third Proportional to 694,865,096 and 1,527,445,744

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Solution

The third proportional to 694,865,096 and 1,527,445,744 is: 3,357,616,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,865,096 : 1,527,445,744 = 1,527,445,744 : x
  2. Step 2: Convert to fraction form
    694,865,096/1,527,445,744 = 1,527,445,744/x
  3. Step 3: Cross multiply
    694,865,096x = 1,527,445,744 × 1,527,445,744
  4. Step 4: Simplify right side
    694,865,096x = 2,333,090,500,863,713,280
  5. Step 5: Solve for x
    x = 2,333,090,500,863,713,280/694,865,096
  6. Step 6: Final answer
    x = 3,357,616,484.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.